Binomial-Theorem-And-Its-Simple-Applications Question 245

Question: If $ P(n):‘‘46^{n}+19^{n}+k $ is divisible by 64 for $ n\in N $ ? is true, then the least negative integer value of k is.

Options:

A) -1

B) 1

C) 2

D) -2

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] 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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