# JEE Main & Advanced Mathematics Geometric Progression Sum of infinite terms of a G.P.

## Sum of infinite terms of a G.P.

Category : JEE Main & Advanced

(1) When $|r|\,<1$,    (or $-1<r<1)$; ${{S}_{\infty }}=\frac{a}{1-r}$.

(2) If $r\ge 1$, then ${{S}_{\infty }}$ doesn't exist.

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