airthmetic progression

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prove that
mean of cubes of first n natural numbers is [n(n+1)(n+1)]/4

  • airthmetic progression -

    by induction, you can show that

    n
    ∑ k^3 = n^2 * (n+1)^2 / 4
    k=1

    now divide by n, and you're done.

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