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31 January, 15:14

Prove that for any natural n the value of the expression (n+7) ^2-n^2 is divisible by 7.

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  1. 31 January, 15:40
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    Step-by-step explanation:

    (n + 7) ² - n²

    n² + 14n + 49 - n²

    14n + 49

    7 (2n + 7)

    7 is a factor, so for any natural n, (n + 7) ² - n² is a multiple of 7.
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