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CGP EDU Academic Team
Published on: August 13, 2026
Let a 1 , a 2 , a 3 ,……, a 49 be in A.P. such that 
and a 9 + a 43 = 66 . If 
, then m is equal to
Text Solution
Verified by ExpertsThe correct answer is:
A
+ (a 1 +d) 2 + (a 1 + 2d) 2 + ……..+ (a 1 + 16d) 2 = 140 m
d 2 ( 1 2 + 2 2 +…..+16 2 ) + 2a 1 d (1+2+3+……+16) = 140m
17 × 64 + 
= 140 m
17 × 64 + 8 × 11 × 17 + 8 × 11 × 17 = 140 m
17 × 16 + 22 × 17 + 2 × 16 × 17 = 35 m
272 + 374 + 544 = 35 m
1190 = 35 m ⇒ m = 34
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