Teenage Alcohol Abuse - 2826 Words

Gateway Technical College Teenage Alcohol Abuse/Addiction 550-150-2W7A Psychopharmacology Instructor Dennis Markus, MSW, LCSW, C-SAC Tracy L. Murray (Rego) MSW, LCSW, CTS 11 November 2009 The dangers of teenage alcohol abuse are underestimated in our country due to the social acceptability of the drug alcohol. The social acceptability of alcohol itself is seen by the frequency it is categorized separately from other drugs and substances when we talk about use and abuse. Alcohol is a drug but our nation and the media do not want to call it one or treat it like one. Alcohol is a legal drug abused by many teenagers and this paper will address some of the issues today’s teenagers face when dealing with†¦show more content†¦Parents may think as long as their children are drinking beer instead of doing drug’s its okay. People in America do not want to wake up to the fact that alcohol is a drug and it does kill our youth. Youth need to be educated on the affects alcohol can have on their bodies, and parents and communities need to play a role in their education. Contrary to popular belief, youth do drink alone just like some adults do. They drin k to change their mood, alleviate boredom, and to handle stress. Many youth will drink anything as they don’t realize the difference in alcohol content between hard liquor, beer, or wine (Novello, 1997). Even if teenagers attempt to read the labels on alcoholic beverages, they may be confused due to obscure labeling. High school students drink 35% of all the wine coolers consumed in the United States and they believe beer has a higher alcohol content than wine coolers. According to the 2006 National Survey on Drug Use and Health (NSDUH), in the past year, 32.9 percent of the youths surveyed from age 12 to 17 had used alcohol. According to the 2005 NSDUH survey, 74.3 percent of high school students nationwide had already consumed one or more drinks in their lifetime. Many teenagers and children get their information about alcohol from friends and the media. With these sources they do not have sufficient information to advise them of the dangers of alcohol consumption (Pr ingle,Show MoreRelatedTeenage Alcohol Abuse1465 Words   |  6 PagesAlcohol Abuse in Teenagers Underage alcohol abuse is a growing problem in the lives of teenagers today. Almost 80% of high school students have tried alcohol (Dowshen). To effectively combat this growing epidemic, teens need to understand the effects of consuming alcohol, and adults need to recognize the problem and effectively prevent alcohol abuse. Though many teenagers do not realize it, alcohol can significantly affect a teen’s life, including short-term impacts on the teen’s popularity andRead More Teenage Alcohol Abuse Essay726 Words   |  3 Pagesyear by teenage under-aged drinkers and how alcohol effects their future and see how bold of a word invincibility is. Issues that need to be considered when it comes to alcohol are the medical conditions it gives people, how alcohol effects each teenagers future, and who the people are that are inspiring teenagers to drink. People have the right to drink but because of law teenagers are not legally allowed to. There is a reason for everyt hing and this is to keep everyone safe. Alcohol has a majorRead MoreTeenage Drug And Alcohol Abuse978 Words   |  4 PagesTeenage drug and alcohol abuse is becoming a major problem in the United States. Abuse of illicit substances eventually leads to an addiction. Drug and alcohol addiction is a disease, and it is contagious. It does not spread through germs; it spreads through families, schools, and communities. There are two youth prevention programs that try to exceed at decreasing the drug and alcohol abuse in teenagers. They are the D.A.R.E. program and the Serenity House based out of Texas. The D.A.R.E. programRead MoreTeenage Drinking And The Abuse Of Alcohol1283 Words   |  6 PagesTeenage drinking and the abuse of alcohol/smoking. Alcohol abuse can cause wrecks, smoking can cause many different cancers. Whenever people under age consume alcohol, they tend to do stuff that they will regret. Whenever people under age smoke they have some sort of cancer in/on their body. When adults drink they still have a chance to wreck but the percentage of adults getting in a wreck is less of a chance of an underage drinker. They have age restrictions for a reason. E-cigarettes areRead MoreTeenage Drug And Alcohol Abuse2166 Words   |  9 PagesTeenage drug and alcohol abuse can come from a number of different factors such as emotional disorders, stress, social events and other adolescent pressures. Adolescent is a period of time when teens have a lot of pressures to fit in, establish their own identities, it’s also a time of growth and development, and also the great desire to fit in which leads teens to give into peer pressure. Teens are going through an emotional change in themselves emotionally, physically and also hormonally duringRead MoreTeenage Alcohol Abuse Essay2212 Words   |  9 PagesTeenage alcohol abuse is one of the major problems that affect academic performance, cause health problems and is responsible for the death of teenage drivers and sometime their passengers. Many teens drink because they think it is cool and do not understand the dangers of drinking alcohol. In 2008 a survey on the students views on alcohol wa s conducted in the Atlanta Public School System of 4,241 students surveyed results showed 74% of sixth graders felt there was a health risk while 25% felt thereRead MoreInfluence of Drug and Alcohol Abuse Amoung Kenyan Teenage Education5708 Words   |  23 PagesSCHOOL OF COMPUTER SCIENCE RESEARCH PROPOSAL. Influence of drug and alcohol abuse among Kenyan teenage Education. BY BRIAN MUNGA (J15-3021-11) TAKEN BY: Catherine Mavyala DECLARATION I declare that Influence of drug and alcohol abuse among Kenyan teenage Education is my own work and that all the sources that I have used or quoted have been indicated and acknowledged by means of complete references. †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. 07 August 2012 SignatureRead MoreTeenage Alcoholism1078 Words   |  5 Pages1. According to statistics on alcoholism and alcohol abuse statistics, even though alcohol has been used in a number of diverse ways. a. Throughout history these ways can be called useful, however, known thousands of years ago that abusive and excessive drinking led to negative outcomes and adverse alcohol side effects. b. The symptoms associated with this are mostly societal and personal problems. 2. Research studies have shown that teenage alcoholism is correlated to the age at which teensRead MoreEssay on Teenage Drinking In America920 Words   |  4 Pagesworld. A subject that needs special attention is the abuse of alcohol by teens. Statistics show that there is a problem currently between teens and alcohol. There are many causes of teenage drinking and effects that prove that drinking is an important issue that needs to be dealt with to preserve American teenagers. Teenage drinking will become worse of a problem if it continues unchecked on its current path to destruction. Alcohol abuse among teenagers in the United States is a plague thatRead MoreThe Effects Of Alcohol And Teen Drinking1069 Words   |  5 Pagesto Dryden-Edwards (2), teenage drinking is widespread, and teenagers believe that it is acceptable. But, teenagers’ bodies are still developing. They fail to realize that consuming alcohol places them in danger  for numerous issues.   Consuming alcohol is more widespread among teenagers than most realize. Alcohol and Teen Drinking (1) reports that three-fourths of seniors,  a little over two-thirds of Sophomores, and two out of five 8th graders have experimented with alcohol. With rising statistical

Personal Narrative Losing Weight Essay - 704 Words

Personal Narrative Losing Weight I know I should lose weight. It requires a lot of perseverance that I one time had and need to find again. Many of the reasons I should lose weight are very clear to me. I have read many articles and have heard what my doctor has told me. I lost over forty pounds about three years ago, unfortunately, I gained it back two fold when I was pregnant with my daughter. I still have not been able to get rid of this weight since she was born. Sometimes it causes me to get tired just from going to the grocery store. I also found out in September of last year that I have hypertension (high blood pressure) which effected my vision drastically by the following November. Other problems are social such as the†¦show more content†¦Currently I must take a pill every day in order to keep my hypertension under control. Since I am not fond of taking medication, I would not miss taking it if losing weight would get rid of my hypertension all together. If I forget to take my pill firs t thing in the morning, I begin to get headaches and start feeling a little edgy by noon. My doctor is in the opinion that my weight is the main cause of my high blood pressure. I also began to have problems with my eyesight almost immediately after I learned I had hypertension. My vision began to get blurry and I felt pressure behind my eyes that scared me greatly. I had to get a much stronger prescription for my contact lenses and now have to return to my eye doctor to have my eyes tested every six months. My optometrist tells me that it is possible to reverse the effects the hypertension has had on my eyes. These health issues have become serious problems for me and if I lost weight, there is a strong possibility of becoming free of these problems. Losing weight would also reduce the risk of other health problems. My doctor has explained several of these risks to me. I do not remember all of them, but the ones that stick out in my mind the most are very common among the w orld today. He mentioned several forms of cancer to me. Breast cancer and ovarian cancer were among the ones that woman have a higher risk of being diagnosed with due toShow MoreRelatedEssay about Baldwins Notes to a Native Son1712 Words   |  7 Pageswritten the essay as he did. James Baldwin throughout the essay hovered from his own personal life to the world around him and his father. Baldwin weaves between narration and analysis in order to show that his own experiences dealing with the public world and his private world were similar to many other Americans at that time. Evidence of Baldwin’s ability to connect public events to his personal life appeared right away in the very first paragraph of the essay. Baldwin changedRead MoreAdd Cake, Subtract Self Esteem Analysis1263 Words   |  6 Pagescelebrated for their curves. Weight was a symbol of wealth and fertility in a woman. During this time, women were subjugated to being a housewife and nothing more. As time and society progressed, a woman’s prison became her body and no longer her home. Women had the freedom to vote, work, play, but could no longer be fat. This new beauty standard of thinness affects women in many ways. In â€Å"Add Cake, Subtract Self Esteem† written by Caroline Knapp, she describes her own personal experience on how this impossibleRead MoreLiterature Review of Interventions Used to Help with Emotional Eating1325 Words   |  6 Pagestreatment plan helps to target social and emotional issues related to eating disorders as well as the eating b ehaviors themselves. The participant participating in multimodal therapy is provided with behavioral and cognitive behavioral strategies for losing weight, as well as information into the emotional state of overeating. Multimodal therapy can be conducted in groups or individually. However, individual sessions allow the client and therapist to work with the distinct eating problem of the individualRead MoreFiction Analysis Essay710 Words   |  3 PagesFiction Analysis There are many ways to supplement a story in order to add lucidity. It is done through literary devices and Tim OBriens The Things They Carried is no different. The Things They Carried is a narrative about a soldier at war in Vietnam. However, this story provides multiple layers of meaning through OBriens tone and style that help the reader further understand it. Both of these literary devices are embedded in the story and gradually help define it. To begin with, OBrienRead MoreEssay on Structure and Style of To Sir, with Love1013 Words   |  5 Pagesstudents will learn and live. Over the course of time his students transform, except for Bert. The students find out that Thackeray’s past has remarkable similarities to their own lives. This realization changes the relationship to a more respectful personal one as the students see that there is indeed an adult authority who can understand their experiences. Thackeray’s confidence in his students and the positive results of his teaching style eventually win over both the students and faculty. HoweverRead MoreEating Disorders: Anorexia Nervosa1653 Words   |  7 Pagesenergy requirements, resulting in a relentless pursuit of low body weight in the context of age, sex, development and physical health. According to American Psychiatric Publishing of diagnostic and statistical manual of mental disorders (DSM-5) â€Å"Anorexia Nervosa, often times have an early-onset which primarily affects adolescent girls and young women, is characterized by distorted body image and excessive dieting that leads to severe weight loss with a pathological fear of becoming fat† (APA). AnorexiaRead MoreThe Things They Carried By Tim O Brien1597 Words   |  7 Pagesmemoir, which is beautifully and intensely well written by Tim O Brien. The novel explores the physical and emotional trauma of the Vietnam War and its impact on soldiers fears. The a uthor and protagonist Tim O’ Brien communicates provoking nonlinear narratives or frame stories through his own point of view presenting the audience with a window into the disturbing widespread, endless, and meaningless death, violence, and savagery in war-torn Vietnam. The author cleverly uses different literary devicesRead MoreNarrative Therpay2610 Words   |  11 PagesRunning Head: Narrative Therapy Narrative Therapy Research Paper Israel Escobar Theories in Counseling Families and Individuals Narrative Therapy Since the field of modern psychology is extremely broad, there are literally dozens if not hundredsRead MoreAnalysis Of Father And Son In Arthur Millers Death Of A Salesman808 Words   |  4 Pagesfather at a fairly young age further stints his maturity and sadly passes this onto his own sons somewhat clarifying his poor parenting â€Å"skills†. Despite Willy’s father having deserted him at roughly four years old Willy continues to delve in his personal mirage of reality believing his father to be a man worth telling to his children. Miller illustrates this through Willy’s childlike vulnerability and curiosity when impatiently requesting Ben to â€Å"Please tell about Dad. I want my boys to hear.† (MillerRead MoreRegurgitation: The Life Story of an Anoretic-Bulimic1700 Words   |  7 Pagesmet the diagnostic requirements for severe, uncontrollable bulimia nervosa (p. 51). Marya used bulimia as a way to gain control over her needs, passions, and bod y, which she felt were uncontrollably excessive; she viewed self control as a form of personal power (p. 53). Growing up in a controlling household where her independence was undermined caused Marya to experience self doubt, this resulted in her self worth being dependent on others perceptions of her (p. 68). By age thirteen Marya began

Importance Of Personal Finances The National Financial...

Importance of Personal Finances Jonathan Woods Liberty University Online ACCT 301-B08 LUO 201520 Week 7 According to the National Financial Educators Council, youth across America are slowly becoming illiterate when it comes to their personal finances. A study was introduced by Beierlein Neverett (2013) through Harris Interactive for the National Council of Economic Education that stated, â€Å"Participants, 3,512 adults aged 18 and above and 2,242 students in grades 9-12, took a 24 question quiz on economics and personal finance. The adults surveyed scored an average grade of 70%, while the students average was 53%. Nearly 30% of the adults and 60% of the students failed the quiz. Ironically, although 97% of the adults†¦show more content†¦Time and time again, youth are demonstrating a major lack of knowledge within the one area that they will deal with for the rest of their lives. An understanding of one’s personal finances are crucial to the development and maturity of one’s self, family, and lifestyle. To reach one’s capabilities, fiscally, is deter mined by their understanding of Cash flows, income, cost effectiveness, timing, and investments. Cash flows are very simplistic. One can think of it as the income and outgo of one’s financial success and liabilities. Merriam-Webster defines cash flows as,† the movement of money in and out of a business.† One can also consider and apply this to their personal finances. Thinking on things such as, â€Å"How much money is made?† and â€Å"How much money is spent?† According to Richard and Anna Linzer (2008), they describe the cash flow concept as,† Cash flow thinking involves focusing on the arrival of revenues and the departure of expenditures that occur during an institution’s fiscal year (3).† Again, making this concept personal, an individual can break this down to how much of a paycheck will come in and how much money does one need to pay out for bills and other expenditures during that pay period or fiscal year. To be able establish literacy of one’s personal finances, there must be an understanding of the liquidity of funds such as cash flows. Ultimately, understanding cash flows helps to motivate a budget. Now that an understanding of cash

The Government s Ways Of Making Reparations - 1436 Words

The Government’s Ways of Making Reparations Slavery and the Jim Crow Era have long since passed, and you would think that racism should have ended then; yet it did not. Racism is something that still exists today, even though many people try to turn a blind eye to it thinking that it is going to go away. In the article â€Å"The Case for Reparations,† Ta-Nehisi Coates makes an argument about how African-Americans should receive reparations for everything that they have had to endure, but he does not give a clear answer on how to go about it. In the article, Coates talks about how racism is at the core of all the reparations that the government has tried to make, and these programs are only hurting African-Americans instead of helping them. Up until the 1960s many African-American could not own any homes or get mortgages instead they had to buy their homes by contracts. The Home sellers made African-Americans pay high rates for the homes through contracts, and when they failed to pay, their homes were taken away. These high rates were meant to prevent blacks from owning any properties. In the article, Coates talks about Clyde Ross who migrated to the north looking for the protection of the law; but like many others who tried get to mortgages legally through loans, they were told that there was no â€Å"financing available† (Coates 58). Financing was indeed there, but it was only offered to whites not African-Americans. A lot of whites went to extreme measure to keepShow MoreRelatedRacial Discrimination Against African Americans902 Words   |  4 Pagessecret about the way in which America came to be what it is today, part of its history involves Africans forcibly being enslaved. Dating back to the beginning and to the end of slavery, they never received appropriate and equal compensation for their hard work. Unfortunately, these slaves who provided the involuntary labor are dead, but many of their descendants are not. In order to reinforc e that racism is unacceptable and intolerable, the U.S. government should provide reparations for the descendantsRead MoreThe Case For Reparations By George Coates Essay1382 Words   |  6 PagesIn â€Å"The case for reparations,† Coates argues that African Americans have been taken advantage of for centuries. During this time the government took their labor, civil rights, and basic human rights too far. He argues that they were also robbed of equal treatment even after desegregation. Coates blames the government and says they are responsible for compensation of generations of Americans being discriminated against. Especially with discrimination still occurring in places such as the school systemRead MoreTo What Extent Can Reparations Affect The Quality Of Life For African Americans? 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Part 5 made an extreme reduction to Germany’s military forces. Part 8 forced Read MoreSlavery And Its Effects On African Americans1391 Words   |  6 Pagesbasically deprived of their rights to vote and use the power of the government in their own favor to better their living standards. However reparation is not needed. Many may argue that reparation is what African Americans need to better themself now in the current economy states Robert L. Allen, yet it is impossible to establish who s a descendant? The â€Å"Economist† argues that their laws in play that deny and prohibit reparations from corporations and companies. Ask yourself how can we put a priceRead MoreThe 1920’S, Though It Was Hardly An Easy Time For Any Country,1436 Words   |  6 Pages The 1920’s, though it was hardly an easy time for any country, it was still a time where people remained optimistic and hopeful. Many historians call this era both the age of anxiety and the period of hope. Some factors that influenced the age of anx iety are the Treaty of Versailles and the Great Depression. The Dawes Plan and the Treaty of Locarno however, helped promote the period of hope. All the events following the World War 1 effected various countries one way or another. Europe faced severeRead MoreHow Did the Depression Affect France?945 Words   |  4 PagesThe closing days of the 1920’s were a start of what would be the worst economic disaster that had ever been witnessed. The effect that the Great Depression had on capitalist countries such as Germany and the United States, was that their stocks and shares heavy economy plunged, leaving businesses unable to trade, and poverty throughout the nation. In the case of France, the depression initially did not suddenly bring the economy down drastically as it had to the more industrialised nations. AlthoughRead MoreThe Treaty Of Versailles And The Dawes Plan1215 Words   |  5 Pagesâ€Å"The Great Depression of the 1930’s swept across most of the world like a blight or plague, swiftly without warning. It produced much misery and suffering everywhere and eventually spread its poison into every aspect of human existence – into politics, social organizations and culture, and even i nto man’s conception of himself†. World War 1 had a huge impact on the American economy. Many people do not take into consideration the events that occurred outside of America that had a big impact on itsRead MoreThe Rise And Fall Of Hitler s Nazi Party1301 Words   |  6 PagesVersailles called for Germany to pay over $30 million in reparations to the nations that wreaked havoc on. All of these social projects being used to fight unemployment, along with the reparations that they were being forced to pay were starting to take a huge toll on Germany’s economy to the point where they were facing a depression. Even with all of Germany’s shortcomings, it could have still been possible for them to pay the reparations but they could not do this because foreign countries placedRead MoreContexts of Metropolis and 19841295 Words   |  6 Pagessupport from lower classes and political left with the Provisional Government holding state power leading to a period of dual power ensuing World War I Germany had to pay off large amounts of reparations money and debt as a result of its defeat in WWI Workers suffered as the ones who had to labour hard to keep Germany from falling while the rich were hedonist Social crisis- Kaiser and traditional authority rejected, democracy seen as way forward but only experimented with rather than fully integrated

An Analysis on Antiheros in J.D. Salingerâ„¢s The Catcher in the Rye and Diablo Codyâ„¢s Juno and the Preservation of Childhood Innocence Essay Example For Students

An Analysis on Antiheros in J.D. Salingerâ„ ¢s The Catcher in the Rye and Diablo Codyâ„ ¢s Juno and the Preservation of Childhood Innocence Essay An archetypal hero is respected for their good moral character, maturity, and courage. In J. D. Salingers The Catcher in the Rye and Diablo Codys Juno there are excellent examples of antiheros, characters who lack heroic qualities, but are still considered to be protagonists. J. D. Salingers The Catcher in the Rye features Holden Caulfield, a sixteen year old teenager from New York, who has been expelled from school multiple times. Holden deals with the phoniness of his classmates, roommates, and teachers, and tries to come to terms with the fact that society is superficial and materialistic. The main character in Diablo Codys Juno is a sixteen year old girl by the name of Juno, who becomes pregnant and now regrets having intercourse in the first place. She suffers from general pregnancy sickness, emotional stress, and public humiliation. The protagonists in both pieces act as antiheros. Both Holden and Juno are ashamed of their actions, as they reflect poorly on their characters. Though they are embarrassed, both protagonists fail to improve their situations and instead behave like antiheros. Holden and Juno demonstrate cowardice, are irresponsible, and try desperately to preserve their childhood nnocence. Holden and Juno are classified as antiheros because they demonstrate cowardice. Holden acts cowardly when he tries to hide things from his parents. For example, when he got expelled from Pencey Prep because of bad grades and overall bad behaviour, he decided to roam the streets of New York instead of accepting his mistake and facing the consequences. This is illustrated when Holden says, l decided Id take a room in a hotel in New Yorksome very inexpensive hotel and all and Just take it easy till Wednesday. Then, on Wednesday, Id go home all rested up nd feeling swell. I figured my parents probably wouldnt get old Thurmers letter saying Id been given the ax till maybe Tuesday or Wednesday. (Salinger 28). This quote demonstrates that Holden knows that his parents will get angered due to his expulsion from school because of his marks and bad behavior. Moreover, it shows that he realizes that he has no confidence in himself to go take responsibility of his actions. A hero would go face his fears no matter what repercussions it may have. Instead, Holden cowardly decides that running away from his problems will better olve them. Like Holden, Juno acts unheroic when she hides the fact that she is pregnant. For example, instead of suffering the consequences of having unprotected intercourse, resulting in pregnancy, Juno believes that hiding from her problems will further assist her. Juno takes multiple over the counter pregnancy tests to assure that she is actually pregnant, before considering confrontation with her parents. She knows that having a child at a young age is a lot of responsibility, especially because she is a student. In addition, Juno fears what her parents will have to say to her ecause she took a big step in life, and now is trying to back away from it. A real heroine would without hesitation face her problems as she knows sooner or later she signs of pregnancy is better than personally confronting her parents because it will prevent her from being humiliated. Therefore, Holden and Juno lack the courage and self-confidence to face their problems forcing them to behave in a way that is disliked by society. Holden and Junos cowardice highlights their irresponsibility. Where a hero would take responsibility for their actions and address problems directly, Holden and Juno efuse to face the consequences of their actions. .u5243cb96abc8d749b76957c02732bbaf , .u5243cb96abc8d749b76957c02732bbaf .postImageUrl , .u5243cb96abc8d749b76957c02732bbaf .centered-text-area { min-height: 80px; position: relative; } .u5243cb96abc8d749b76957c02732bbaf , .u5243cb96abc8d749b76957c02732bbaf:hover , .u5243cb96abc8d749b76957c02732bbaf:visited , .u5243cb96abc8d749b76957c02732bbaf:active { border:0!important; } .u5243cb96abc8d749b76957c02732bbaf .clearfix:after { content: ""; display: table; clear: both; } .u5243cb96abc8d749b76957c02732bbaf { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .u5243cb96abc8d749b76957c02732bbaf:active , .u5243cb96abc8d749b76957c02732bbaf:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .u5243cb96abc8d749b76957c02732bbaf .centered-text-area { width: 100%; position: relative ; } .u5243cb96abc8d749b76957c02732bbaf .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .u5243cb96abc8d749b76957c02732bbaf .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .u5243cb96abc8d749b76957c02732bbaf .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .u5243cb96abc8d749b76957c02732bbaf:hover .ctaButton { background-color: #34495E!important; } .u5243cb96abc8d749b76957c02732bbaf .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .u5243cb96abc8d749b76957c02732bbaf .u5243cb96abc8d749b76957c02732bbaf-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .u5243cb96abc8d749b76957c02732bbaf:after { content: ""; display: block; clear: both; } READ: Hunters Gatherers EssayHolden shows irresponsibility when he lies to please himself. For example, while residing in New York for a few days, he was offered a night with a prostitute. When the elevator operator says, How old are you, chief? Holden answers, Why? Twenty-two. The operator continues and asks Holden if hes Innarested in having a good time. Holden, who wants Just a throw, can be seen as self-indulgent, someone who would lie Just to get the time with the prostitute (Salinger 49). Furthermore, Holden agrees to an interaction with the rostitute because he know that there will be no commitment that comes with it. Holden commits to this throw with the prostitute because he know that no one but him will be affected. Holden did not think about the outcomes of roaming New York alone or of running away from school. Therefore, he is an irresponsible and antiheroic protagonist. Juno shows irresponsibility when she engages in intercourse. Knowing that intercourse can lead to impregnation or even disease. Despite the fact that Juno and her boyfriend, Bleeker, engage in sex unprotected, Juno thinks that iding the fact the she got impregnated is the best way to go in comparison to truthfully telling her parents. Juno did not consider the plausible outcomes of being pregnant at the age of sixteen. Being irresponsible, Juno takes multiple pregnancy tests to assure that she is in fact expecting a baby. She also informs her friend before telling her parents, which shows clearly that she is too scared to confront them, making her irresponsible. This shows that Juno lacks sense of responsibility, and she also thinks that what she does is right. Thus, Holden and Juno are both antiheros, rovided that they evade responsibility and are self-absorbed. Holden and Juno act as antiheros with the goal of preserving their childhood innocence. Holden shows that he is unwilling to grow up when he backed down from participating with the prostitute. For example, when he paid to get a prostitute in his room, all he wanted to do was talk and not engage in any sexual activity. This is demonstrated when Holden asks the prostitute, Dont you feel like talking for a while? (Salinger 51). This quote shows that Holden thought the prostitute will make him feel better, as it would get things off his mind. By not engaging in intercourse, Holden he thought that by not engaging in sexual activity he will maintain his innocence by keeping his virginity. By not giving up his virginity to the prostitute, he keeps himself from attachment and maintains his purity. Juno also shows that she is desperately trying to maintain her childhood. Instead of having the baby and Just keeping it or putting it up for adoption, Juno immediately decided to get information about abortion. This is shown when she calls the Womens Health Clinic and gets an appointment to get an abortion. It is obvious that Juno thought that not having a baby ould not have to accept responsibility for her actions. Though both Juno and Holden behave as antiheros and try to prevent their growing up, in the end, they must be accountable for their actions. Throughout the novel, Holden illustrates why being a child has more benefits than being an adult. Many people criticize Holden because all he does is rant about all his problems, and instead of dealing with it, he Just leaves it behind assuming it will go away. Throughout the movie, Juno demonstrates why being a child is so important: life at a fast pace is unpleasant. In order to maintain their childhood and to keep their lives simple, both Holden and Juno act immorally. They act as antiheros, individuals who are not good examples for society. Holden and Juno demonstrate cowardice, because they are too scared to face their problems. In their cowardly behaviour, they are irresponsible because they do things to please themselves and do not accept the consequences of their actions. Juno and Holden are self-absorbed, and try desperately to preserve their childhood innocence because they are afraid of growing up and taking responsibility for themselves. .uca7c1bb18983fa82de57a89bd4e5fa2b , .uca7c1bb18983fa82de57a89bd4e5fa2b .postImageUrl , .uca7c1bb18983fa82de57a89bd4e5fa2b .centered-text-area { min-height: 80px; position: relative; } .uca7c1bb18983fa82de57a89bd4e5fa2b , .uca7c1bb18983fa82de57a89bd4e5fa2b:hover , .uca7c1bb18983fa82de57a89bd4e5fa2b:visited , .uca7c1bb18983fa82de57a89bd4e5fa2b:active { border:0!important; } .uca7c1bb18983fa82de57a89bd4e5fa2b .clearfix:after { content: ""; display: table; clear: both; } .uca7c1bb18983fa82de57a89bd4e5fa2b { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .uca7c1bb18983fa82de57a89bd4e5fa2b:active , .uca7c1bb18983fa82de57a89bd4e5fa2b:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .uca7c1bb18983fa82de57a89bd4e5fa2b .centered-text-area { width: 100%; position: relative ; } .uca7c1bb18983fa82de57a89bd4e5fa2b .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .uca7c1bb18983fa82de57a89bd4e5fa2b .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .uca7c1bb18983fa82de57a89bd4e5fa2b .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .uca7c1bb18983fa82de57a89bd4e5fa2b:hover .ctaButton { background-color: #34495E!important; } .uca7c1bb18983fa82de57a89bd4e5fa2b .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .uca7c1bb18983fa82de57a89bd4e5fa2b .uca7c1bb18983fa82de57a89bd4e5fa2b-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .uca7c1bb18983fa82de57a89bd4e5fa2b:after { content: ""; display: block; clear: both; } READ: Romeo And Juliet With Midsummer Nights Dream EssayIn the end, however, both Juno and Holden grow up. Juno decides to keep the baby and put it up for adoption. This shows that she is taking responsibility for her actions and thinking of the baby before herself. Holden, who returns home and realizes that his sister Phoebe needs him, also shows this sense of responsibility. He considers himself an influence to his sister, and thinks of her safety before his ease. In short, though Holden and Juno behave as antiheros, at the end of their stories, both protagonists begin to grow and show heroic traits. Resources Salinger, J. D. The Catcher in the Rye. 115. eBook.

Contributions of Women to History free essay sample

An essay on the history of womens contribution to history from 1865 through 1980. This paper goes through Western world history starting at 1865 and lists the accomplishments of many women in several fields. Remarkable women in the fields of drama, art, literature, science, technology and politics are mentioned. It also looks at the rise of the suffrage movements and the start of the womens liberation organizations. A special section is dedicated to Mother Teresa. Women have contributed to the history of the world from the beginning of time. Their stories are found in legends, myths, and history books. Queens, martyrs, saints, and female warriors, usually referred to as Amazon Women, writers, artists, and political and social heroes dot our human history. By 1865, women moved into the public arena, as moral reform became the business of women, as they fought for immigrant settlement housing, fought and struggled for the right to earn living wages, and stood up to the threats of the lynch mobs. We will write a custom essay sample on Contributions of Women to History or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page The years beginning in 1865 is known as the Civil War era and the beginning of the Industrial Revolution. It was a time of great changes, especially for African-American women such as Harriet Tubman and Sojourner Truth. Women of all races had to fight for equal rights, even the right to vote (http://women.eb.com/women/nineteenth09.html).

First Nations Education in Saskatchewan free essay sample

Examines the advantages and disadvantages of First Nations education in Canada. This paper discusses the issue whether First Nations should have total control over their education in Saskatchewan and Canada. The author examines the advantages and disadvantages of having First Nations teach, guide, and overlook all of the aspects in each First Nations students school career. First Nations education is based on traditional values, which put together the principles of wholeness, order, balance, and respect for the spiritual and natural world. They are taught to love and live in Mother Nature and what she brings to everyones lifestyle. First Nations students have the right to develop programs and services of the highest quality. They should have the same opportunities as each and every other student in Saskatchewan and Canada towards their future in this world. First Nations communities, parents, Elders, and teachers expect high quality education and academic skills from their students. We will write a custom essay sample on First Nations Education in Saskatchewan or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page

Use the following rule Essay Example

Use the following rule Essay Use the following rule: Find the product of the top left number and the bottom right number in the square. Do the same thing with the bottom left and the top right numbers in the square. Calculate the following difference between these numbers.INVESTIGATE!The first thing Im going to do is work out the rule for a 10 x 10 grid. To do this Im going to work out what the difference is between each row using 2 x 2, 3 x 3, 4 x 4, and 5 x 5 grids inside the main 10 x 10 one.10 x 10 grid1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586878889909192939495969798991002 x 2 3 x 323 x 14 = 322 33 x 15 = 49513 x 24 = 312 difference = 10 13 x 35 = 455 difference = 4048 x 39 = 1872 82 x 64 = 524838 x 49 = 1862 difference = 10 62 x 84 = 5208 difference = 4096 x 87 = 8352 88 x 70 = 616086 x 97 = 8342 difference = 10 68 x 90 = 6120 difference = 404 x 4 5 x 541 x 14 = 574 46 x 10 = 46011 x 44 = 484 difference = 90 6 x 50 = 300 difference = 16067 x 40 = 2680 62 x 26 = 161237 x 70 = 2590 difference = 90 22 x 66 = 1452 difference = 16092 x 65 = 5980 95 x 59 = 560562 x 95 = 5890 difference = 90 55 x 99 = 5445 difference = 160I can also use algebra to work out the differences.2 x 2:Xx + 1x + 10x + 11(x + 10)(x + 1) = xà ¯Ã‚ ¿Ã‚ ½ + 11x + 10( x)(x + 11) = xà ¯Ã‚ ¿Ã‚ ½ + 11x difference = 103 x 3Xx + 1x + 2x + 10x + 11x + 12x + 20x +21x + 22(x + 20)(x + 2) = xà ¯Ã‚ ¿Ã‚ ½ + 22x + 40(x)(x + 22) = xà ¯Ã‚ ¿Ã‚ ½ + 22x difference = 404 x 4Xx + 1x + 2x + 3x + 10x + 11x + 12x + 13x + 20x + 21x + 22x + 23x + 30x + 31x + 32x + 33(x + 30)(x + 3) = xà ¯Ã‚ ¿Ã‚ ½ + 33x + 90(x)(x + 22) = xà ¯Ã‚ ¿Ã‚ ½ + 33x difference = 905 x 5Xx + 1x + 2x + 3x + 4x + 10x + 11x + 12x + 13x + 14x + 20x + 21x + 22x + 23x + 24x + 30x + 31x + 32x + 33x + 34x + 40x + 41x + 42x + 43x + 44(x + 40)(x + 4) = xà ¯Ã‚ ¿Ã‚ ½ + 44x + 160(x)(x +44) = xà ¯Ã‚ ¿Ã‚ ½ + 44x difference = 160I will now attempt to find the nt h term for this.Grid size: 2 ? 2 3 x 3 4 x 4 5 x 510 40 90 160 / / /1st difference: 30 50 70 / /2nd difference: 20 20The first differences are not the same so we have to take a second difference.The co-efficient of n is half the second difference. So the co-efficient of n is therefore 10 and as we had to take a second difference n will therefore be squared.10nà ¯Ã‚ ¿Ã‚ ½I now have to take 10nà ¯Ã‚ ¿Ã‚ ½ away from the difference.E.g. if n is 2 then 10nà ¯Ã‚ ¿Ã‚ ½ is 40 so if I take 40 away from the difference of the 2 x 2 grid I get the 10nà ¯Ã‚ ¿Ã‚ ½ part.2 x 2 : difference = 10 n = 210 x 2à ¯Ã‚ ¿Ã‚ ½ = 40. 10 40 = -303 x 3: difference = 40 n = 310 x 3à ¯Ã‚ ¿Ã‚ ½ = 90 40 90 = 504 x 4: difference = 90 n = 410 x 4à ¯Ã‚ ¿Ã‚ ½ = 160 90 160 = 705 x 5: difference = 160 n = 510 x 5à ¯Ã‚ ¿Ã‚ ½ = 250 160 250 = 90-30 -50 -70 -90 / / /-20 -20 -20The co-efficient of n this time is -20. As I didnt have to take a second difference n will not be squared.If for example n = 2 to get - 20 back up to -30 I will have to add 10 (2 x -20 = -40 + 10 = -30). So I should get 10nà ¯Ã‚ ¿Ã‚ ½-20n+10. To see if this works I shall have to use a couple of examples:If n = 3 3 x -20 = 60 + 10 = -50If n = 4 4 x -20 = 80 + 10 = -70These both abide by the rule so it must work.-20n + 10I will add this to the end of the 10nà ¯Ã‚ ¿Ã‚ ½to get:10nà ¯Ã‚ ¿Ã‚ ½ 20n + 10This factorizes to 10(n-1)à ¯Ã‚ ¿Ã‚ ½ therefore the nth term for a 10 x 10 grid is 10(n-1)à ¯Ã‚ ¿Ã‚ ½Im now going to do the same but using a 9 x 9 grid.1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980812 x 2 3 x 320 x 12 = 240 33 x 17 = 56111 x 21 = 231 difference = 9 15 x 35 = 525 difference = 3652 x 44 = 2288 49 x 33 = 161743 x 53 = 2279 difference = 9 31 x 54 = 1581 difference = 3666 x 58 = 3828 79 x 63 = 497757 x 67 = 3819 difference = 9 81 x 61 = 4941 difference = 364 x 4 5 x 574 x 50 = 3700 46 x 14 = 64447 x 7 7 = 3619 difference = 81 10 x 50 = 500 difference = 14455 x 31 = 1705 50 x 18 = 90028 x 58 = 1624 difference = 81 14 x 54 = 756 difference = 14433 x 9 = 297 76 x 44 = 33446 x 36 = 216 difference = 81 40 x 80 = 3200 difference = 144I can also work these differences out using algebra.2 x 2xx + 1x + 9x + 10(x + 9)(x + 1) = xà ¯Ã‚ ¿Ã‚ ½ + 10x + 9(x)(x + 10) = xà ¯Ã‚ ¿Ã‚ ½ + 10x difference = 93 x 3xx + 1x + 2x + 9x + 10x + 11x + 18x + 19x + 20(x + 18)(x + 2) = xà ¯Ã‚ ¿Ã‚ ½ + 20x + 36(x)(x + 20) = xà ¯Ã‚ ¿Ã‚ ½ + 20x difference = 364 x 4xx + 1x + 2x + 3x + 9x + 10x + 11x + 12x + 18x + 19x + 20x + 21x + 27x + 28x + 29x + 30(x + 27)(x + 3) = xà ¯Ã‚ ¿Ã‚ ½+ 30x + 81(x)(x + 30) = xà ¯Ã‚ ¿Ã‚ ½ + 30x difference = 1445 x 5xx + 1x + 2x + 3x + 4x + 9x + 10x + 11x + 12x + 13x + 18x + 19x + 20x + 21x + 22x + 27x + 28x + 29x + 30x + 31x + 36x + 37x + 38x + 39x + 40(x + 36)(x + 4) = xà ¯Ã‚ ¿Ã‚ ½ + 40x + 144(x)(x + 40) = xà ¯Ã‚ ¿Ã‚ ½ + 40x difference = 144I will now attempt to find the nth term f or this.Grid size: 2 ? 2 3 x 3 4 x 4 5 x 59 36 81 144 / / /1st difference: 27 45 63 / /2nd difference: 18 18Again the first differences are not the same so we have to take a second difference. The co-efficient of n is half the second difference. So the co-efficient of n is therefore 9 and as we had to take a second difference n will therefore be squared.9nà ¯Ã‚ ¿Ã‚ ½I now have to take 9nà ¯Ã‚ ¿Ã‚ ½ away from the difference.2 x 2 : difference = 9 n = 29 x 2à ¯Ã‚ ¿Ã‚ ½ = 36 9 36 = -273 x 3: difference = 36 n = 39 x 3à ¯Ã‚ ¿Ã‚ ½ = 81 36 81 = 454 x 4: difference = 81 n = 49 x 4à ¯Ã‚ ¿Ã‚ ½ = 144 81 144 = 635 x 5: difference = 144 n = 59 x 5à ¯Ã‚ ¿Ã‚ ½ = 225 144 225 = 81-27 -45 -63 -81 / / /-18 -18 -18The co-efficient of n this time is -18. Like before because I havent taken a second difference n will not be squared.If for example n = 2 then to get -18 back to -27 you would have to add 9 (2 x -18 = -36 + 9 = -27)To see if this rule works I will have to sub in a couple of exam ples.If n = 3 3 x -18 = -54 + 9 = -45If n = 4 4 x -18 = -72 + 9 = -63These show that the rule works.-18n + 9I will add this to the end of the 9nà ¯Ã‚ ¿Ã‚ ½to get:9nà ¯Ã‚ ¿Ã‚ ½ 18n + 9This factorizes to 9(n-1)à ¯Ã‚ ¿Ã‚ ½ therefore the nth term for a 9 x 9 grid is9(n-1)à ¯Ã‚ ¿Ã‚ ½8 x 8 grid123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263642 x 2 3 x 320 x 13 = 260 22 x 8 = 17612 x 21 = 252 difference = 8 6 x 24 = 144 difference = 3238 x 31 = 1178 33 x 19 = 62730 x 39 = 1170 difference = 8 17 x 35 = 595 difference = 3250 x 43 = 2150 62 x 48 = 297642 x 51 = 2142 difference = 8 46 x 64 = 2944 difference = 324 x 4 5 x 529 x 8 = 232 34 x 6 = 2045 x 32 = 160 difference = 72 2 x 38 = 76 difference = 12843 x 22 = 946 60 x 32 = 192019 x 46 = 874 difference = 72 28 x 64 = 1792 difference = 12849 x 28 = 1372 41 x 13 = 53325 x 52 = 1300 difference = 72 9 x 45 = 405 difference = 128I can also work out these differences using algebra.2 x 2xx + 1x + 8x + 9(x + 8)(x + 1) =; xà ¯Ã‚ ¿Ã‚ ½ + 9x + 8(x)(x + 9) =; xà ¯Ã‚ ¿Ã‚ ½ + 9x difference = 83 x 3xx + 1x + 2x + 8x + 9x + 10x + 16x + 17x + 18(x + 16)(x + 2) =; xà ¯Ã‚ ¿Ã‚ ½ + 18x + 32(x)(x + 18) =; xà ¯Ã‚ ¿Ã‚ ½ + 18x difference = 324 x 4xx + 1x + 2x + 3x + 8x + 9x + 10x + 11x + 16x + 17x + 18x + 19x + 24x + 25x + 26x + 27(x + 24)(x + 3) =; xà ¯Ã‚ ¿Ã‚ ½ + 27x +72(x)(x + 27) =; xà ¯Ã‚ ¿Ã‚ ½ + 27x difference = 725 x 5xx + 1x + 2x + 3x + 4x + 8x + 9x + 10x + 11x + 12x + 16x + 17x + 18x + 19x + 20x + 24x + 25x + 26x + 27x + 28x + 32x + 33x + 34x + 35x + 36(x + 32)(x + 4) =; xà ¯Ã‚ ¿Ã‚ ½ + 36x + 128(x)(x + 36) =; xà ¯Ã‚ ¿Ã‚ ½ + 36x difference = 128I will now attempt to find the nth term for this.Grid size: 2 ? 2 3 x 3 4 x 4 5 x 58 32 72 128 / / /1st difference: 24 40 56 / /2nd difference: 16 16Again the first differences are not the same so we have to take a second difference. The co-efficient of n is half the second difference. So the co-efficient of n is t herefore 8 and as we had to take a second difference n will therefore be squared.8nà ¯Ã‚ ¿Ã‚ ½I now have to take 8nà ¯Ã‚ ¿Ã‚ ½ away from the difference.2 x 2 : difference = 8 n = 28 x 2à ¯Ã‚ ¿Ã‚ ½ = 32 8 32 = -243 x 3: difference = 32 n = 38 x 3à ¯Ã‚ ¿Ã‚ ½ = 72 32 62 = -304 x 4: difference = 72 n = 48 x 4à ¯Ã‚ ¿Ã‚ ½ = 128 72 128 = -565 x 5: difference = 128 n = 58 x 5à ¯Ã‚ ¿Ã‚ ½ = 200 128 200 = -72-24 -40 -56 -72 / / /-16 -16 -16The co-efficient of n this time is -16. Because I dont have to take a second difference n will not be squared.If n = 2 then I will have to add 8 to get back to the original difference of -24 (2 x -16 = -32 + 8 = -24). To see if this rule works I have to sub in two other terms of n.If n = 3 3 x -16 = -48 + 8 = -40If n = 4 4 x -16 = -64 + 8 = -56This shows that this rule works.-16n + 8I will add this to the end of the 8nà ¯Ã‚ ¿Ã‚ ½to get:8nà ¯Ã‚ ¿Ã‚ ½ 16n + 8This factorizes to 8(n-1)à ¯Ã‚ ¿Ã‚ ½ therefore the nth term for this is 8(n-1)à ¯Ã‚ ¿Ã‚ ½I can also work out the nth term of other grid sizes by using algebra to work out the differences of different size squares on the grid and then finding the nth term in the same way I have for the 10 x 10, 9 x 9 and the 8 x 8 grids.I am going to work out the nth term of a 7 x 7 grid.2 x 2xx + 1x + 7x + 8(x + 7)(x + 1) = xà ¯Ã‚ ¿Ã‚ ½ + 8x + 7(x)(x + 8) = xà ¯Ã‚ ¿Ã‚ ½ + 8x difference = 73 x 3xx + 1x + 2x + 7x + 8x + 9x + 14x + 15x + 16(x + 14)(x + 2) = xà ¯Ã‚ ¿Ã‚ ½ + 16x + 28(x)(x + 16) = xà ¯Ã‚ ¿Ã‚ ½ + 16x difference = 284 x 4xx + 1x + 2x + 3x + 7x + 8x + 9x + 10x + 14x + 15x + 16x + 17x + 21x + 22x + 23x + 24(x + 21)(x + 3) = xà ¯Ã‚ ¿Ã‚ ½ + 24x +63(x)(x + 24) = xà ¯Ã‚ ¿Ã‚ ½ + 24x difference = 635 x 5xx + 1x + 2x + 3x + 4x + 7x + 8x + 9x + 10x + 11x + 14x + 15x + 16x + 17x + 18x + 21x + 22x + 23x + 24x + 25x + 28x + 29x + 30x + 31x + 32(x + 28)(x + 4) = xà ¯Ã‚ ¿Ã‚ ½ + 32x + 112(x)(x + 32) = xà ¯Ã‚ ¿Ã‚ ½ + 32x difference = 112Grid size: 2 ? 2 3 x 3 4 x 4 5 x 57 28 63 112 / / /1st difference: 21 35 49 / /2nd difference: 14 14As I had to take a second difference the co-efficient of n will be halved but n will be squared. This will give us 7nà ¯Ã‚ ¿Ã‚ ½.Now I have to take away 7nà ¯Ã‚ ¿Ã‚ ½ from the original difference.2 x 2: difference = 7 n = 27 x 2à ¯Ã‚ ¿Ã‚ ½ = 28 7 28 = -213 x 3: difference = 28 n = 37 x 3à ¯Ã‚ ¿Ã‚ ½ = 63 28 63 = -354 x 4: difference = 63 n = 47 x 4à ¯Ã‚ ¿Ã‚ ½ = 112 63 112 = 495 x 5: difference = 112 n = 57 x 5à ¯Ã‚ ¿Ã‚ ½ = 175 112 175 = -63-21 -35 -49 -63 / / /-14 -14 -14The co-efficient of n now is -14 and as we didnt have to take a second difference n will not be squared.If for example n = 2 to get this difference of -14 back up to the original difference I would of -21 I would have to + 7 ( 2 x 14 = -28 + 7 = -21)To see if this works and it isnt just a fluke I will have to use a couple of other examples.If n = 3 3 x 14 = -42 + 7 = -35If n = 4 4 x 14 = -56 + 7 = -49I will now add -14n + 7 to the end of 7nà ¯Ã‚ ¿Ã‚ ½ t o get:7nà ¯Ã‚ ¿Ã‚ ½- 14n +7This factorizes to 7(n-1)à ¯Ã‚ ¿Ã‚ ½, this is the nth term for a 7 x 7 grid.Gridnth term10 x 1010(n-1)à ¯Ã‚ ¿Ã‚ ½9 x 99(n-1)à ¯Ã‚ ¿Ã‚ ½8 x 88(n-1)à ¯Ã‚ ¿Ã‚ ½7 x 77(n-1)à ¯Ã‚ ¿Ã‚ ½As they seem to be falling into a pattern we can make a general nth term for all grid sizes. This is:g(n-1)à ¯Ã‚ ¿Ã‚ ½g being the grid size. For example on the 10 x 10 grid g = 10.The rectangles you can have in a 10 x 10 grid are:2 x 3 3 x 6 4 x 10 7 x 82 x 4 3 x 7 5 x 6 7 x 92 x 5 3 x 8 5 x 7 7 x 102 x 6 3 x 9 5 x 8 8 x 92 x 7 3 x 10 5 x 9 8 x 102 x 8 4 x 5 5 x 10 9 x 102 x 9 4 x 6 6 x 72 x 10 4 x 7 6 x 83 x 4 4 x 8 6 x 93 x 5 4 x 9 6 x 10I am going to investigate all the rectangles with five in it rather then changing both side lengths of the rectangle each time.2 x 5 3 x 5 4 x 5 6 x 5 7 x 5 8 x 5 9 x 5 10 x 5123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687 8889909192939495969798991002 x 515 19 15 x 29 = 43525 29 25 x 19 = 475 difference = 4054 58 54 x 68 = 367264 68 64 x 58 = 3712 difference = 4085 89 95 x 89 = 845595 99 85 x 99 = 8415 difference = 403 x 52 6 22 x 6 = 13222 26 2 x 26 = 52 difference = 8035 39 55 x 39 = 214555 59 35 x 59 = 2065 difference = 8065 69 85 x 69 = 586585 89 65 x 89 = 5785 difference = 804 x 543 47 73 x 47 = 343173 77 43 x 77 = 3311 difference = 12056 60 86 x 60 = 516086 90 56 x 90 = 5040 difference = 12021 25 51 x 25 = 127551 55 21 x 55 = 1155 difference = 1206 x 534 38 84 x 38 = 319284 88 34 x 88 = 2992 difference = 20042 46 92 x 46 = 423292 96 42 x 96 = 4032 difference = 2006 10 56 x 10 = 56056 60 6 x 60 = 360 difference = 2007 x 531 35 91 x 35 = 318591 95 31 x 95 = 2945 difference = 24015 19 75 x 19 = 142575 79 15 x 79 = 1185 difference = 24024 28 84 x 20 = 235284 88 24 x 88 = 2112 difference = 2408 x 513 17 83 x 17 = 141183 87 13 x 87 = 1131 difference = 28016 20 86 x 20 = 172086 90 16 x 90 = 1440 differ ence = 2802 6 72 x 6 = 43272 76 2 x 76 = 152 difference = 2809 x 512 16 92 x 16 = 147292 96 12 x 96 = 1152 difference = 32014 18 94 x 18 = 169294 98 14 x 98 = 1372 difference = 3203 7 83 x 7 = 58183 87 3 x 87 = 261 difference = 32010 x 56 10 96 x 10 = 96096 100 6 x 100 = 600 difference = 3601 5 91 x 5 = 45591 95 1 x 95 = 95 difference = 3603 7 93 x 7 = 65193 97 3 x 97 = 291 difference = 360Rectangle: 2 x 5 3 x 5 4 x 5 6 x 5 7 x 5 8 x 5 9 x 5 10 x 540 80 120 200 240 280 320 360* 4 8 12 20 24 28 32 36/ / / / / / / /Multiples: 1 4 2 4 3 4 5 4 6 4 7 4 8 4 9 4*Here I can remove a factor of 10 from each difference.I can now use these to work out a general rule for rectangle grids on a10 x 10 grid.2 x 5 2 = width 5 = length2 1 = 1 5 1 = 4 1 and 4 are multiples of 4 which is the difference of a 2 x 5 rectangle with a factor of 10 removed.3 x 5 3 = width 5 = length3 1 = 2 5 1 = 4 2 and 4 are multiples of 8 which is the difference of a 3 x 5 rectangle with a factor of 10 removed.4 x 5 4 = width 5 = length4 1 = 3 5 1 = 4 3 and 4 are multiples of 12 which is the difference of a 4 x 5 rectangle with a factor of 10 removed.Using these I can assume a general rule for finding the difference:(w-1)(l-1) but because I took a factor of 10 out all this would have to be multiplied by 1010(w-1)(l-1)To show that this works I am going to use rectangles 6 x 5, 7 x 5 and8 x 5.6 x 5 10 x 5 x 4 = 2007 x 5 10 x 6 x 4 = 2408 x 5 10 x 7 x 4 = 280