Principle Of Mathematical Induction Question 4
Question: If $ p(n)=n^{2}+n, $ $ \forall ,n\in N $ , then p(n) is
Options:
A) even positive integer
B) prime number
C) odd integer
D) multiple of 4
Correct Answer: AShow Answer
Answer:
Solution:
$ P(1)=1+1=2; $
$ P(2)=2^{2}+2=6; $
$ P(3)=3^{2}+3=12 $
We observe that $ \forall n\in N, $ $ P(n) $ is always an even positive integer.