Recognizing Patterns Answers

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A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?

A
–7
B
–1
C
1
D
7
2
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What is the common ratio between successive terms in the sequence?27, 9, 3, 1, , , , ...

Question illustration
A
–3
B
–
Option B
C
Option
Option C
D
3
3

A sequence is defined recursively using the formula . If the first term of the sequence is 120, what is f(5)?

Question illustration
A
−15
B
−7.5
C
7.5
D
15
4

A credit card balance of $800 increases by 2% each month if no payments are made. The balance follows a recursive formula. Which sequence could represent the balance (in dollars)?

A
800, 816, 832, 848, …
B
800, 802, 804, 806, …
C
800, 816, 832.32, 848.97, …
D
800, 784, 768.32, 752.95, …

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