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-   -   Math induction (https://www.askmehelpdesk.com/showthread.php?t=309626)

  • Jan 27, 2009, 09:00 PM
    cordov43
    math induction
    problem: math induction 1+27+125... +(2n-1)^3=n^2(2n^2-1)


    Please help!!
  • Jan 27, 2009, 09:04 PM
    juhi2011

    1+27+125... +(2n-1)^3=n^2(2n^2-1)
    this can be expressed in the form :
    1^3+3^3+5^3... (2n-1)^3, now you can write the sum of the cubical equation using the formula and conclude the result...
  • Jan 28, 2009, 04:32 PM
    galactus


    Add to both sides:



    The right side becomes

    And the proof is complete.

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