Recognizing Patterns Answers

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Which best describes the relationship between the successive terms in the sequence below?–3.2, 4.8, –7.2, 10.8, …

A
The terms have a common difference of 8.
B
The terms have a common difference of 1.6.
C
The terms have a common ratio of –1.5.
D
The terms have a common ratio of –0.67.
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Answer:

10

68799

Which sequences are arithmetic? Check all that apply.–5, 5, –5, 5, –5, …96, 48, 24, 12, 618, 5.5, –7, –19.5, –32, …–1, –3, –9, –27, –81, …16, 32, 48, 64, 80

A
–5, 5, –5, 5, –5, …
B
96, 48, 24, 12, 6
C
18, 5.5, –7, –19.5, –32, …
D
–1, –3, –9, –27, –81, …
E
16, 32, 48, 64, 80
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Which sequences are geometric? Check all that apply.–2, –4, –6, –8, –10, …16, –8, 4, –2, 1–15, –18, –21.6, –25.92, –31.104, …4, 10.5, 17, 23.5, 30, …625, 125, 25, 5, 1, …

A
–2, –4, –6, –8, –10, …
B
16, –8, 4, –2, 1
C
–15, –18, –21.6, –25.92, –31.104, …
D
4, 10.5, 17, 23.5, 30, …
E
625, 125, 25, 5, 1, …
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Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1?

A
2.5, 6.25, 15.625, 39.0625, …
B
2.5, 5, 10, 20
C
–10, –7.5, –5, –2.5, …
D
–10, –25, 62.5, 156.25
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Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?3, –6, 12, –24, 48, …

A
f (n + 1) = –3 f(n )
B
f (n + 1) = 3 f(n )
C
f (n + 1) = –2 f(n )
D
f (n + 1) = 2 f(n)
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Which recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1?6, 1, –4, –9, –14, …

A
f (n + 1) = f(n) + 5
B
f (n + 1) = f(n) – 5
C
f (n) = f(n + 1 ) – 5
D
f (n + 1) = –5f(n)

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