3 years ago

N is a positive integer. Explain why n(n-1) must be an even number.

1 answer:

4 0

If N is a positive integer, it must be either even or odd. If N is odd, then N-1 will be even. If N is even, then N-1 will be odd. Either way, when you multiply n and n-1, one of those expressions is going to be an even number, and any number multiplied by an even number is an even number. Hope this helps! :)

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