Proofs and pictures

A picture is worth a thousand lines of equations

By James Robert Brown

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2 Responses

  1. Nicola Mingotti says:

    Another very simple intuitive proof is that of
    1 + 2 + 3 + …. +n = n*(n+1) / 2

    proof :

    1 + 2 + 3 …….. + n-1 + n +
    n + n-1 + n-2 + 2 + 1 =
    ——————————–
    n+1 + n+1 + n+1 … n times

    so summing 2 times integer from 1 to n is equal to n times n+1

  2. admin says:

    Actually, Nicola, this is the way Gauss solved this problem when he was 10 years old in school!!

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