Recognizing Patterns

Question 1

Question 1

Revolt · Accepted Answer

−4.5

Question 2

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

Revolt · Accepted Answer

The terms have a common ratio of –1.5.

Question 3

Which sequences are arithmetic? Check all that apply.

Revolt · Accepted Answer

96, 48, 24, 12, 6

Question 4

Which sequences are geometric? Check all that apply.

Revolt · Accepted Answer

16, –8, 4, –2, 1; –15, –18, –21.6, –25.92, –31.104, …; 625, 125, 25, 5, 1, …

Question 5

Question 6

Revolt · Accepted Answer

10

Question 6

Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1?

Revolt · Accepted Answer

2.5, 6.25, 15.625, 39.0625, …

Question 7

Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?3, –6, 12, –24, 48, …

Revolt · Accepted Answer

f (n + 1) = –3 f(n )

Question 8

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

Revolt · Accepted Answer

f (n + 1) = f(n) – 5

Question 9

Three terms of an arithmetic sequence are shown below. Which recursive formula defines the sequence?f(1) = 6, f(4) = 12, f(7) = 18

Revolt · Accepted Answer

f (n + 1) = f(n) + 2

Recognizing Patterns Answers