Q. 113.5( 4 Votes )
Mark the correct A. 1/3
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 + ...
1-r = 2r
r = 1/3.
Also given that
a+ar = a(1+r) = 1.
∴ a = 1/(1+r) = 3/4.
Rate this question :
A person has 2 paRD Sharma - Mathematics
The sum of the seRD Sharma - Mathematics
How many terms ofRD Sharma - Mathematics
If <span lang="ENRD Sharma - Mathematics
Let anRD Sharma - Mathematics
Find the sum of 2RD Sharma - Mathematics
If <span lang="ENRS Aggarwal - Mathematics
Find the sum (41RS Aggarwal - Mathematics
Find the sum (2 +RS Aggarwal - Mathematics
If<span lang="EN-RS Aggarwal - Mathematics