What is the common ratio between successive terms in the sequence? 2, -4, 8, -16, 32, -64, …

Solution:

Given:

Sequence is 2, -4, 8, -16, 32, -64, …

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

The nth term of a geometric sequence is given by a_n = arⁿ

Where r is the common ratio between successive terms.

Given, the sequence is 2, -4, 8, -16, 32, -64, …

Here r = -4/2 = -2

Therefore, the common ratio is -2.

What is the common ratio between successive terms in the sequence? 2, -4, 8, -16, 32, -64,…

Summary:

The common ratio between successive terms in the sequence 2, -4, 8, -16, 32, -64,... is -2.