Question

The product of the 2nd and 3rd term of a gp is 972.if the first term is 3/4.find the common ratio.

Answer 1

Common ratio = 12.

Explanation:

2nd term = a1r and 3rd = a1r^2

So (a1)^2 r^3 = 972

a1 = 3/4, so

(3/4)^2 r^3 = 972

r^3 = 972 / 9/16

r^3 = 972*16/9 = 1728

r = 12.