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CGP EDU Academic Team
Published on: August 14, 2026
If 2, 7, 9 and 5 are subtracted respectively from four numbers in geometric progression, then the resulting numbers are in arithmetic progression. The smallest of the four numbers is
Text Solution
Verified by ExpertsThe correct answer is:
A
-24
Let the numbers be a, ar, ar 2 , ar 3
a - 2, ar - 7, ar 2 - 9 and ar 3 - 5 are in A. P.
(a - 2) + (ar 2 - 9) = 2 (ar - 7) and (ar - 7) + (ar 3 - 5) = 2 (ar 2 - 9)
a + ar 2 = 2ar - 3 and ar + ar 3 = 2ar 2 - 6
1 + r 2 = 2r - 
and 1 + r 2 = 2r - 
So, the numbers are - 3, - 6, - 12, - 24
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