Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The sum of four numbers in an arithmetic progression is 48 and the ratio of the product of the extremes to the product of the two middle terms is 27 : 35, then the largest term of this arithmetic progression is
Text Solution
Verified by ExpertsThe correct answer is:
D
18
Let the A. P. be a - 3d, a - d, a + d, a + 3d
The sum of the terms = 48 = 4a 
a = 12
Given, 
(16-d 2 )35 = (144-d 2 ) 3
35d 2 - 3d 2 = 16 x 35 - 144 x 3
32d 2 = 16 (35 - 27) = 16 x 8
d 2 =4 
d = ±2
So the numbers are: 6,10,14,18
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