Geometric Sequences and Series

It is a sequence in which every term after the first is obtained by multiplying the same constant r.

• A. Geometric sequence

• B. Fibonacci sequence

• C. Arithmetic sequence

• D. Harmonic sequence

Which of the following is NOT a geometric sequence?

• A. 6,18,54,162

• B. 2,18,162,1458

• C. 14,28,42,56

• D. 8,24,72,216

Solve for the common ratio of the geometric sequence:14, 28, 56, 112.

• A. 1

• B. 2

• C. 3

• D. 4

What is the common ratio of the geometric sequence, -14, 56, -224, 896, -3584?

• A. -4

• B. -5

• C. -6

• D. -7

Solve for the first term of the geometric sequence __ , 36, 216, 1296, 7776, 46656.

• A. 8

• B. 6

• C. 4

• D. 2

What is the next term in the geometric sequence 4 , -16 , 64 , ____?

• A. -128

• B. -192

• C. -256

• D. -266

• A. 32

• B. 128

• C. 512

• D. 2048

Find the seventh term of a geometric sequence where the third is 18 and the common ratio is 3.

• A. 162

• B. 486

• C. 1458

• D. 4374

Find the 5th term of a geometric sequence 4 , -8 , 16, ...?

• A. 128

• B. 124

• C. 108

• D. 64

Find the common ratio for the geometric sequence that has first term is 3 and fifth term is 48.

• A. 1

• B. 2

• c. 3

• D. 4