Binomial Theorem And Its Simple Applications Question 142
Question: If $ p(n)=n^{3}+{{(n+1)}^{3}}+{{(n+2)}^{3}} $ where $ n\in N $ then p(n) is divisible by
Options:
A) 9
B) 7
C) 13
D) 15
Show Answer
Answer:
Correct Answer: A
Solution:
- [a] Let n=1,
$ \therefore P(1)=1+8+27=36 $
$ \therefore P(1)=36 $ is divisible by 9