Question

Determine whether the following sequence is a geometric sequence or not. Explain your answer.

a. 3, 18,108, 648,
b. 4, 12, 36, 144, 432,

Answer 1

The sequences a. 3, 18, 108, 648 and b. 4, 12, 36, 144, 432 are geometric sequences.

Step-by-step explanation:

The sequence a. 3, 18, 108, 648 and b. 4, 12, 36, 144, 432 are geometric sequences.

A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a constant. In sequence a, each term is obtained by multiplying the previous term by 6. In sequence b, each term is obtained by multiplying the previous term by 3.

Example, in sequence a, 18/3 = 108/18 = 648/108 = 6, and in sequence b, 12/4 = 36/12 = 144/36 = 432/144 = 3.