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Sequence Project

Sequence Project

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    Mary   reality series project Mary reality series project Presentation Transcript

    • Math Studies Reality Series Project: Geometric Sequences and Arithmetic Series By: Maria Alejandra Aparicio
    • Geometric Sequences
      • Geometric sequences and the real world: Fianance
      • We use the following equation:
      • an=a1 * r n-1
      • an: last term
      • a1: first term
      • r: common ratio
      • n: position
    • Geometric Sequence Question
      • So let’s say you put in $100,000 in your bank account when you are 20. It gains a 3.7% interest annually.
      • How much money will you have in 1, 2, or 3 years?
      • If you could live a lot longer than the average human how much would your account have after 467 years?
    • The Math
    • The Math 45 years
    • The Math 467 years!
    • Arithmetic Series and the Guinness Book of World Records
      • Brenden Adams is 16 years old and holds the record for being the tallest living teenager.
      • 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.
      • If this pattern keeps going how tall will he be when he’s 18? What about when he’s 40 or 59 years old?
      • Using the following formula we can find this out:
      • Un= u1 + (n-1)d
      • Un: last term n: number of series
      • U1: first term d: difference (common difference)
    • Solving for Brenden’s Height
    • Bibliography:
      • Geometric Sequences:
      • Whiffen, Glen, Marjut Mäenpää, James Foley, Michael Haese, and Sandra Haese. "Sequences and Series."  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.
      •  
      • Arithmetic Sequences:
      • 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>.
      • &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)/>.