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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 states that \( n^2 + n \) is odd. We will use mathematical induction to prove or disprove this statement. ### Step-by-Step Solution: 1. **Base Case**: We start with \( n = 1 \). \[ P(1): 1^2 + 1 = 1 + 1 = 2 ...
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