Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the sum to infinity of a decreasing G.P. with the common ratio x such that |x| < 1 ; x ≠ 0. The ratio of the fourth term to the second term is 
and the ratio of third term to the square of the second term is 
Text Solution
Verified by ExpertsThe correct answer is:
0012
Ans. 0012
Sol. Let the series be a, ax, ax 2 , ax 3 …….. given that |x| < 1 and x ≠ 0
Also, 
⇒ x 2 = 
⇒ x = ± 
But since it is decreasing G.P.so x = 1/4
Also, 
= 
= 
⇒ 
= 
⇒ a = 9
S ∞ = 
= 
= 12
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