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# Project: Your Own Reality Series

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## lissette arenas

on 10 April 2012

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#### Transcript of Project: Your Own Reality Series

Lissette Arenas
Honors Pre- Calculus
April 9th, 2012 Arithmetic Sequence (Finite)
Casey decided she was going to deposit a certain amount of money in her bank account each month for 6 months. She wanted to deposit an intial amount of \$5000 and then add \$1000 more from the previous amount, and then deposit that amount into her account. The table below represents how much she desposited in her account each month. N 1 2 3 4 5 6
Term \$5000 \$6000 \$7000 \$8000 \$9000 \$10000 Recursive Formula Explicit Formula A = 5000
A = A + 1000 1 n n-1 A = A + (n-1) d
A = 5000+ (n-1) 1000
A = 5000 + 1000n- 1000
A = 4000 + 1000n n 1 n n n Summation Notation 6 k=5000 4000 + 1000n Th'm: Sum of a Finite Sequence
n (a + a ) 1 n 2 6 (5000 + 10000)
2 = 6(15000) 2 = 6 (7500) = \$45000 Geometric Sequence (Finite) Jimmy decided to eat a snack while watching tv. At first, he got 1 cookie from the jar. Then, he got 2 cookies from the jar. Finally, he got the last 4 cookies from the jar. Recursive Formula Explicit Formula A = 1
A = A * 2 1 n n-1 A = a * r n 1 n-1 A = 1 * 2 n n-1 Summation Notation 3 k= 1 1 * 2 n-1 Th'm Sum of a Finite sequence
a (1-r ) 1 n 1-r = 1(1-2 )
1-2 3 = 1(1-8) = 1(-7) =7
-1 -1 Arithmetic Question Questions How to find the 10th term (how much Casey would deposit on month 10)....
Explicit formula:
A = 4000 + 1000n
A = 4000 + 1000 (10)
A = 4000 + 10000
A = \$14000
On month 10, if Casey wanted to collect more money for her new car, she would have to deposit \$14000. n 10 10 10 Geometric Sequence Question When would Jimmy get 64 cookies from the jar?
Explicit Formula
A = 1 * 2 N=7, so Jimmy will get 64
64 = 1 * 2 cookies the 7th time he
64 = 2 puts his hand in.
2 = 2
6 = n-1
7 = n
n n-1 n-1 n-1 6 n-1 n 1 2 3
term 1 2 4
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