Binomial Theorem And Its Simple Applications Question 95
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.
BETA
