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# Real-Life Scenario: Arithmetic Sequence

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## Savannah Cruz

on 5 February 2014

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#### Transcript of Real-Life Scenario: Arithmetic Sequence

Equations
Real-Life Arithmetic Sequence
by: Savannah Cruz

The number of apples increases by 2 each day. This record of apples creates a arithmetic sequence of 1, 3, 5, 7, 9, 11, 13, 15,...
I actually chose this scenario for my arithmetic sequence because of the prezi background. I was trying to think of ideas that would make a good arithmetic sequence and when I saw this background the idea just came to me. Since this type of sequence increases or decreases by the same amount between terms this seemed like a perfect scenario.
Research Sources
The Series and Sequences Videos are where I obtained my information for the equations.
The End
Savannah Cruz
7th period
Apple Tree Scenario
You own an apple orchard and you decide to graph the amount of apples you see on a specific tree to determine the amount of apples that tree might produce for the season. You find that on day one the tree has 1 apple, on day two you find that the tree has 3 apples, on day four you find that the tree has 5 apples, and the pattern continues on increasing by the same amount of apples per day for the rest of the season.
Day 1
Day 2
Day 3
Day 4
Recursive Formula
Explicit Formula
Summation Notation
a = 1
1
a = a + 2
n
n-1
a = 1
1
a = 1 + (n - 1) 2
n
a = 2n - 1
n
Why this scenario?
Full transcript