If P (n) : “49n + 16n + k is divisible by 64 for n ∈ N” is true, – InterviewSolution

InterviewSolution

1.

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

Answer»

For n = 1, P(1) : 65 + k is divisible by 64.

Thus k, should be – 1 since, 65 – 1 = 64 is divisible by 64.

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