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Let P(n) denote the statement that n^2+n...

Let P(n) denote the statement that `n^2+n` is odd . It is seen that `P(n)rArr P(n+1),P(n)` is true for all

A

`n gt 1`

B

`n`

C

`n gt 2`

D

None of these

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the statement \( P(n) \) which claims that \( n^2 + n \) is odd for all integers \( n \). ### Step-by-Step Solution: 1. **Understanding the Expression**: We start with the expression \( n^2 + n \). We can factor this expression: \[ n^2 + n = n(n + 1) ...
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