In a G.P. of positive terms if any terms is equal to the sum of next tow terms, find the common ratio of the G.P.

Explanation

Let the G.P. is,

`a, ar,ar^2,ar^3...`

Here, `a` is the first term and `r` is the common ratio.

Then, it is given that ,

`ar+ar^2 = a`

`=>r+r^2 = 1`

`=>r^2+r-1 = 0`

`=> r = (-1+-(sqrt(1-4(-1)(1))))/2 =+- (sqrt5-1)/2`

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