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Math Help - Please help me with this equation

  1. #1
    wss
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    Please help me with this equation

    Hi
    how are you?


    how i can proof this equation?


    (((-1)^n)(n!))/(x+n)! = ((-1)^n)(x-1)^(n+1)


    thank you
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  2. #2
    MHF Contributor
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    Re: Please help me with this equation

    The equation

    \frac{(-1)^nn!}{(x+n)!}=(-1)^n(x-1)^{n+1}

    is false for x = 0 and even n.
    Thanks from topsquark
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  3. #3
    wss
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    Re: Please help me with this equation

    thank you

    but how i can proof this equation


    from left to right in Properties of the factorial??
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  4. #4
    Forum Admin topsquark's Avatar
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    Re: Please help me with this equation

    Quote Originally Posted by emakarov View Post
    The equation

    \frac{(-1)^nn!}{(x+n)!}=(-1)^n(x-1)^{n+1}

    is false for x = 0 and even n.
    It doesn't seem to work for odd n either. I checked for n = 1, 3, 5 and x = 5 as a base case and it didn't work for them.

    -Dan
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  5. #5
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    Re: Please help me with this equation

    Quote Originally Posted by wss View Post
    thank you

    but how i can proof this equation


    from left to right in Properties of the factorial??
    emakarov and topsquark's point is that you can't prove it because it is not true!
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