Question

Find, which of the following sequence from a G.P. :

`1/8, 1/24, 1/72, 1/216, ................`

Answer 1

Given sequence: `1/8,1/24,1/72,1/216, ................`

Now,

`(1/24)/(1/8) = 1/3, (1/72)/(1/24) = 1/3, (1/216)/(1/72) = 1/3`

Since `(1/24)/(1/8) = (1/72)/(1/24) = (1/216)/(1/72) = .......... = 1/3,` the given sequence is a G.P. with common ratio `1/3`.