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Question
Find, which of the following sequence from a G.P. :
`1/8, 1/24, 1/72, 1/216, ................`
Solution
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`.
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