Question

Determine if the sequence is geometric. If it is, find the common ratio.
4, 16, 36, 64,

Answer 1

It is not a Geometric Sequence.

Explanation:

• Step 1: Find if it is a GP. If it is a GP, common ratio would be same for all terms given 4, 16, 36, 64

⇒ a(2)/a(1) = 16/4 = 4

⇒ a(3)/a(2) = 36/16 ≠ 4

⇒ a(4)/(a(3) = 64/16 ≠ 4

Since the common ratio is not the same, it is not a Geometric Sequence.