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} $ .