First slide

Introduction to P.M.I

Question

Let P(n) denotes the statement that n² + n is odd. It is seen that P(n) $\Rightarrow$ P( n + 1), P(n) is true for all

Moderate

A

n>1
B

n
C

n>2
D

None of these

Solution

$P (n) = n^{2} + n$
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.

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