Mary reality series project

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Sequence Project

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Mary reality series project

  1. 1. Math Studies Reality Series Project: Geometric Sequences and Arithmetic Series By: Maria Alejandra Aparicio
  2. 2. Geometric Sequences <ul><li>Geometric sequences and the real world: Fianance </li></ul><ul><li>We use the following equation: </li></ul><ul><li>an=a1 * r n-1 </li></ul><ul><li>an: last term </li></ul><ul><li>a1: first term </li></ul><ul><li>r: common ratio </li></ul><ul><li>n: position </li></ul>
  3. 3. Geometric Sequence Question <ul><li>So let’s say you put in $100,000 in your bank account when you are 20. It gains a 3.7% interest annually. </li></ul><ul><li>How much money will you have in 1, 2, or 3 years? </li></ul><ul><li>If you could live a lot longer than the average human how much would your account have after 467 years? </li></ul>
  4. 4. The Math
  5. 5. The Math 45 years
  6. 6. The Math 467 years!
  7. 7. Arithmetic Series and the Guinness Book of World Records <ul><li>Brenden Adams is 16 years old and holds the record for being the tallest living teenager. </li></ul><ul><li>Brenden’s height is at 2.3 m or 230 cm which by dividing his height by his years we can assume he grew 14.3cm each year. </li></ul><ul><li>If this pattern keeps going how tall will he be when he’s 18? What about when he’s 40 or 59 years old? </li></ul><ul><li>Using the following formula we can find this out: </li></ul><ul><li>Un= u1 + (n-1)d </li></ul><ul><li>Un: last term n: number of series </li></ul><ul><li>U1: first term d: difference (common difference) </li></ul>
  8. 8. Solving for Brenden’s Height
  9. 9. Bibliography: <ul><li>Geometric Sequences: </li></ul><ul><li>Whiffen, Glen, Marjut Mäenpää, James Foley, Michael Haese, and Sandra Haese. &quot;Sequences and Series.&quot;  Mathematics for the International Student : Mathematical Studies SL Second Edition . By Mal Coad. 2nd ed. South Australia: Haese & Harris Publications, 2010. 445,475-78. Print. </li></ul><ul><li>  </li></ul><ul><li>Arithmetic Sequences: </li></ul><ul><li>Hanan, Mary. &quot;Meet the Boy Too Big for His Mom's SUV - ABC News.&quot;  ABCNews.com - Breaking News, Latest News & Top Video News - ABC News . Web. 17 Jan. 2012. <http://abcnews.go.com/Health/MedicalMysteries/story?id=5466774>. </li></ul><ul><li>&quot;Tallest Teenager Living (male) - Size - Explore Records - Guinness World Records.&quot; Guinness World Records - Home of the Longest, Shortest, Fastest, Tallest Facts and Feats . Guinness World Records. Web. 17 Jan. 2012. <http://www.guinnessworldrecords.com/tallest-teenager-living-(male)/>. </li></ul>

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