Question

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 1

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

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