Modeling Functions Using Finite Differences Answers

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What are the first four terms of the sequence defined recursively below?

Question illustration
A
5, 16, 51, 154
B
5, 18, 16, 18
C
5, 16, 49, 148
D
5, 18, 55, 168
24

Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaining total back into the lemonade container. Which recursive formula models the number of ounces of lemonade in the container, , at the end of the nth day?

Question illustration
A
mc021-2.jpg
Option A
B
mc021-3.jpg
Option B
C
mc021-4.jpg
Option C
D
mc021-5.jpg
Option D
25

The amount of money in Nadia’s savings account at the end of n years is represented by the recursive formula . If , what is the balance in Nadia’s account at the end of each of the first two years?

Question illustration
A
$25.36, $75.99
B
$50.00, $101.25
C
$101.25, $153.78
D
$75.99, $127.89

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