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In a G.P. the 3rd term is 8 times the 6t...

In a G.P. the 3rd term is 8 times the 6th term and the 4th term is 4 times the 6th term.Find the common ratio of the G.P.

Text Solution

Verified by Experts

Let `a` is the first term and `r` is the common ratio of the given GP.
Then, we are given,
`ar^2 = 8ar^5`
`=>r^3 = 1/8`
`r = 1/2->(1)`
Also, we are given,
`ar^3 = 4ar^5`
`=>r^2 = 1/4`
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