Q:

Is the sequence geometric? If so, identify the common ratio. 2, -4, -16, -36, ...A. Yes; -2B. Yes; 2C. Yes; -3D. No

Accepted Solution

A:
Answer:No this is not the sequence geometric.Step-by-step explanation:Given : 2, -4, -16, -36, ...To find : Is the sequence geometric? If so, identify the common ratio. Solution : We have given that 2, -4, -16, -36, ... In a Geometric Sequence each term is found by multiplying the previous term by a constant.Geometric Sequence like this: {a, ar, ar², ar³, ... }On comparing2, -4, -16, -36, ...{ 2 , 2 ×-2, 2×(-2)², 2×(-2)³..So we get { 2, -4, -8, -16...Therefore , No this is not the sequence geometric.