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.
68798

[___]

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
68800

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, …
68801

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
68802

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)
68803

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)
68805

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.
68806

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
68807

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, …
68808

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
68809

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)
68810

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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