SATHEE: Principle Of Mathematical Induction Question 64

Principle Of Mathematical Induction Question 64

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

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Principle Of Mathematical Induction Question 64

Question: If $ p(n)=n^{3}+{{(n+1)}^{3}}+{{(n+2)}^{3}} $ where $ n\in N $ then p(n) is divisible by

Options:

Answer:

Solution:

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