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22 September, 14:43

Answer like gauss 1+3+5+7 + ... = 999

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  1. 22 September, 15:03
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    1+3+5+7 + ... + 999 =

    = 1+2+3+4 + ... + 500

    +1+2+3 + ... + 499

    = 2· (1+2+3 + ... + 499) + 500

    = 2· (499·500) / 2 + 500

    = 499·500 + 500

    = 500· (499 + 1)

    = 500·500

    = 250.000
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