Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The sum to infinite terms of the arithmetic-geometric progression 3, 4, 4, 
, .... is equal to
Text Solution
Verified by ExpertsThe correct answer is:
A
27
LettheA.G.P be 3,(3 + d)r, (3 + 2d)r 2 ....
So, (3 + d)r = 4 and (3 + 2d)r 2 = 4
9 + d 2 + 6d = 12 + 8d
d 2 - 2d - 3 = 0
(d + 1) (d - 3) = 0 
d = -1, 3
But |r| < 1 
d = 3andr = 
=9+18=27
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