Sequence And Series Question 625

Question: 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

[RPET 2002]

Options:

A) 1

B) 2

C) 1/3

D) - 1/3

Show Answer

Answer:

Correct Answer: C

Solution:

Given, $ a=2( \frac{ar}{1-r} ) $
$ \Rightarrow 1-r=2r $
$ \Rightarrow r=\frac{1}{3} $ .