Question

What is the common ratio between successive terms in the sequence?

2, –4, 8, –16, 32, –64

Answer 1

-2

Explanation

Common ratio is obtained by dividing any term by its immediately previous term. In the present question we have -4/2 = 8/-4 =-16/8 =32/16 = -64/32 = -2. Hence the common ratio between successive terms of the given sequence = -2.

Answer 2

r = - 2

Explanation:

The common ratio r between consecutive terms is

r = - 4 ÷ 2 = 8 ÷ - 4 = - 16 ÷ 8 = 32 ÷ - 16 = - 64 ÷ 32 = - 2