Sequence And Series Question 13

Question: The sum of first two terms of a G.P. is 1 and every term of this series is twice of its previous term, then the first term will be

[RPET 1988]

Options:

A) 1/4

B) 1/3

C) 2/3

D) 3/4

Show Answer

Answer:

Correct Answer: B

Solution:

Given $ a+ar+1 $ and $ r=2 $ therefore $ a+2a=1 $
$ \Rightarrow $ $ a=\frac{1}{3} $ .