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If P (n) : 49n + 16n + k is divisible by 64 for n ? N is true, then the least negative integral value of k is ______.

Asked by ABHISHEK KUMAR SHARMA 13th October 2013, 9:21 AM
Answered by Expert
Answer:

Given: P(n) is divisible by 64.

So, when n = 1,

P(1) = 49 + 16 + k is divisible by 64.

This gives, 65 + k is divisible by 64.

Observe that 65 - 1 = 64, which is divisible by 64.

Hence, the required least value of k is -1.

Answered by Expert 13th October 2013, 3:58 PM
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