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Math Help - Proving by induction help

  1. #16
    Super Member
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    Athens, OH, USA
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    Re: Proving by induction help

    Hi again jpab29
    My apologies. The formula \sum^n_{i=1}(2i-1)^2=(n-1)^3+n^3 is totally wrong!! I must have had a brain freeze. The correct formula for the sum of the squares of the first n odd numbers is:

    \sum_{i=1}^n(2i-1)^2={n(4n^2-1)\over3}

    This really can be proved by induction.
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  2. #17
    Junior Member
    Joined
    Jul 2013
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    California
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    Re: Proving by induction help

    Thanks so much!

    I tried to do it this way like this video:


    It's what I have been doing.

    i can only do the left side, but not the right side.

    But anyways, it's past 12midnight and it's time for me to say goodbye to this chapter of the book. I did not complete all my homework but at least I got some answered, with everyone's help. Thanks so much!
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