Question

Match the sequence (term) with the correct type of sequence (definition). (4 points) Group of answer choices 128, 32, 8, 2, ... 1, 3, 9, 27, ... 5, 10, 15, 20, ... 20, 17, 14, 11, …

Answer 1

Explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference, d. Therefore,

d = Term 2 - Term 1 = Term 3 - Term 2

In an geometric sequence, the consecutive terms differ by a common difference, r. Therefore,

r = Term 2 /Term 1 = Term 3 / Term 2

1) 128, 32, 8, 2, .. Is a geometric sequence

r = 32/128 = 1/4

2) 1, 3, 9, 27, .. Is a geometric sequence

r = 3/1 = 3

3) 5, 10, 15, 20, ...is an arithmetic sequence

d = 10 - 5 = 5

4) 20, 17, 14, 11, … is an arithmetic sequence

d = 17 - 20 = - 3