Let $P(n)$ denotes the statement that $n^{2} + n$ is odd. It is seen that $P(n) \Rightarrow P(n + 1),\ P(n)$ is true for all

Question

Dr. Abubacker · Accepted Answer

(d)
$P(n) = n^{2} + n$
It is always odd but square of any odd number is always odd and also sum of two odd number is always even. So, for no any $n$ for which this statement is true.

Q. Let $P(n)$ denotes the statement that $n^{2} + n$ is odd. It is seen that $P(n) \Rightarrow P(n + 1),\ P(n)$ is true for all

Explanation

Reviewed by Dr. Abubacker

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