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7 May, 09:15

Prove that if the square of a whole number is added to the same whole number, the sum will be an even number.

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  1. 7 May, 11:29
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    n=the whole number

    n2=the square of the whole number

    n2+n=the sum

    proof:

    n2+n the sum

    n (n+1) factored

    for all whole numbers n, n and n+1 are consecutive whole numbers

    for any two consecutive whole numbers, one must be even and one must be odd

    the product of an even number and an odd number is always an even number

    therefore n2+n is an even number
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