Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The largest value of the positive integer k for which n k + 1 divides 1 + n + n 2 +….+ n 127 is divisible by -
Text Solution
Verified by ExpertsThe correct answer is:
D
We have,
1 + n + n 2 + ….+ n 127 = 
= 
= (1 + n + n 2 + …. + n 63 ) (n 64 + 1)
∴ k = 64 which is divisible by 8, 16, 32 and 64.
Hence is the correct answer.
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