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8. Sequences and Series
easy
If in an infinite $G.P.$ first term is equal to the twice of the sum of the remaining terms, then its common ratio is
A
$1$
B
$2$
C
$1/3$
D
$-1/3$
Solution
(c) Given, $a = 2\left( {\frac{{ar}}{{1 – r}}} \right)$
$ \Rightarrow 1 – r = 2r$
$ \Rightarrow r = \frac{1}{3}$.
Standard 11
Mathematics