Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The first three terms of an arithmetic-geometric progression are 3, - 1 and - 1. The next term of the progression is
A
2
B
-2
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Let the first four terms of the A. G. P. be
3,(3 + d)r,(3 + 2d)r 2 , (3 + 3d)r 3
Hence, (3 + d)r = -1 and (3 + 2d)r 2 = -1
9 + d 2 + 6d = -3 - 2d
d 2 + 8d + 12 = 0 
d = -2, -6
or 
(i) for d = -2, r = - 1; next term is
(3 + 3d)r 3 = (3-6)(-l) 3 =3
(ii) for d = -6, r = 
next term is
(3 + 3d)r 3 = (3-18) 
So, the next term is 3 or 
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