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Always, sometimes or never? 'For a whole number $n, n^{2} + n$ is odd.'

Class 8Parity, Remainders and Digital RootsNumber System

ANever
BSometimes
CAlways
DOnly when n is odd

Step-by-Step Solution

n^{2} + n = n (n + 1)

, a product of two consecutive numbers. One of them is even, so the product is always even and never odd.

Answer: A) Never

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