Recursive Formulas Answers

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What are the first four terms of the sequence modeled by the recursive formula , when ?

Question illustration
A
–3, –8, –13, –18
B
–3, 2, 7, 12
C
–3, –15, –75, –375
D
–3, 1, 5, 9
2
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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
3

The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?

A
mc018-1.jpg
Option A
B
mc018-2.jpg
Option B
C
mc018-3.jpg
Option C
D
mc018-4.jpg
Option D
4

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
5

Johann borrows money from his parents to purchase a bike. He makes weekly payments to his parents to repay the money borrowed. The total amount of money repaid at the end of week n can be represented using the recursive formula . At the end of the fourth week, Johann had repaid his parents a total of $55. What is the total amount Johann had repaid his parents at the end of the first week?

Question illustration
A
$10
B
$20
C
$25
D
$35
6

Which formula can be used to describe the sequence below?

Question illustration
A
mc015-2.jpg
Option A
B
mc015-3.jpg
Option B
C
mc015-4.jpg
Option C
D
mc015-5.jpg
Option D
7

Which recursive formula describes the pattern in the perimeters of the images, where is the perimeter of the nth image?

Question illustration
A
mc016-3.jpg
Option A
B
mc016-4.jpg
Option B
C
mc016-5.jpg
Option C
D
mc016-6.jpg
Option D
8

The total number of miles Jeremy walked on a hike can be represented by using the formula . If and n represents the total number of hours walked, what is the total distance Jeremy walked at the end of each of the first three hours?

Question illustration
A
2 miles, 5 miles, 8 miles
B
2 miles, 6 miles, 18 miles
C
2 miles, 3 miles, 4 miles
D
2 miles, 4 miles, 6 miles
9

What are the first three terms of the sequence modeled by the recursive function , when ?

Question illustration
A
mc002-3.jpg
Option A
B
mc002-4.jpg
Option B
C
1,2,4
D
mc002-5.jpg
Option D
10

What are the first three terms of the sequence defined by the recursive function , when and ?

Question illustration
A
-14, 14, -4
B
6, 10, 8
C
-2, 0, 2
D
2, 8, 10

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