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Thread: Binomial

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    Member HoldingOn's Avatar
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    Binomial

    http://prntscr.com/ksa768

    Could I get some help with part ii.Thanks
    Last edited by HoldingOn; 9 Sep 2018 at 7:54 PM.

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    Senior Member integral95's Avatar
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    Re: Binomial

    NAH

    Jks, this is a pretty cool problem.

    You start by applying the symmetrical co-efficient property

    with the LAST n-1 terms so you have



    Etc etc etc..... and you eventually get on the LHS


    Last edited by integral95; 10 Sep 2018 at 2:13 AM.
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    Member HoldingOn's Avatar
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    Re: Binomial

    Quote Originally Posted by integral95 View Post
    NAH

    Jks, this is a pretty cool problem.

    You start by applying the symmetrical co-efficient property

    with the LAST n-1 terms so you have



    Etc etc etc..... and you eventually get on the LHS


    If we had a even number of terms, would that negate the need to add as the expression would be perfectly symmetrical?

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    Junior Member HeroWise's Avatar
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    Re: Binomial

    Im just curios integral howd u come to that conclusion?

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    Senior Member integral95's Avatar
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    Re: Binomial

    Quote Originally Posted by HoldingOn View Post
    If we had a even number of terms, would that negate the need to add as the expression would be perfectly symmetrical?
    There can never be an even number of terms, only an odd amount.

    You're expanding

    So expanding generates 3 terms.

    expanding generates 5 terms etc...

    You would get a pretty different scenario if you do get an even number of terms.
    Last edited by integral95; 10 Sep 2018 at 2:02 AM.
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    Senior Member integral95's Avatar
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    Re: Binomial

    Quote Originally Posted by HeroWise View Post
    Im just curios integral howd u come to that conclusion?
    If you compared the answers in i) and ii)
    The last n terms on the left side of the equation are gone, the right side looks something pretty close to something being divided by 2 since



    The second term looks pretty close to and then a bit of intuition comes into play.
    Last edited by integral95; 10 Sep 2018 at 2:13 AM.
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