If each term of an infinite G.P. is twice the sum of the terms following it, then find the common ratio of the G.P.

Explanation

Let a be the first term and r the common ratio of the G.P.

let the GP be `a,ar,ar^2,....`

Then,

`=>a=2[ar+ar^2+.....] `


`=>a=2ar[1+r+r^2+.......] `


`=>1=2r×1/(1−r)​ `
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