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# Mary reality series project

## on Feb 11, 2012

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Sequence Project

Sequence Project

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## Mary reality series projectPresentation 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. &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.
•
• 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)/>.