Q. 113.5( 4 Votes )

Mark the correct A. 1/3

B. 2/3

C. 1/4

D. 3/4

Answer :

Let the first term be a and the common ratio be r.


Sum of infinite terms is given by



The general term of any GP is given by arn.


The infinite sum of all successive terms is


(arn)r + (arn)r2 + (arn)r3 + ...


=


Therefore



1-r = 2r


r = 1/3.


Also given that


a+ar = a(1+r) = 1.


a = 1/(1+r) = 3/4.

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