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Thread: Simplifying a sum of factorials

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    Junior Member BenHowe's Avatar
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    Simplifying a sum of factorials

    How do I simplify

    Not sure if this is ext 2, just doing an applied maths problem
    Last edited by BenHowe; 9 Mar 2017 at 8:50 PM.
    1st Year BAppFinBActStud @ MQ

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    Senior Member KingOfActing's Avatar
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    Re: Simplifying a sum of factorials

    Quote Originally Posted by BenHowe View Post
    How do I simplify

    Not sure if this is ext 2, just doing an applied maths problem
    There's no easy way to simplify that unless you're willing to use hypergeometric/subfactorial/etc. functions.

    WolframAlpha gives:

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    -insert title here- Paradoxica's Avatar
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    Re: Simplifying a sum of factorials

    Quote Originally Posted by BenHowe View Post
    How do I simplify

    Not sure if this is ext 2, just doing an applied maths problem
    Let the sum be X

    Observe nX = n! + X -1

    Then solve for X
    BenHowe likes this.
    If I am a conic section, then my e = ∞

    Just so we don't have this discussion in the future, my definition of the natural numbers includes 0.

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    Junior Member BenHowe's Avatar
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    Re: Simplifying a sum of factorials

    That's very clever lol. So for stuff like this I have to find how I can re-write the expression to a more useful form/express it in terms of itself?
    1st Year BAppFinBActStud @ MQ

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    Re: Simplifying a sum of factorials

    Quote Originally Posted by Paradoxica View Post
    Let the sum be X

    Observe nX = n! + X -1

    Then solve for X
    I don't think it works.
    This is not a GS.
    nX = n! + n (n-2)! + n (n-3)! + ......

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    -insert title here- Paradoxica's Avatar
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    Re: Simplifying a sum of factorials

    Quote Originally Posted by stupid_girl View Post
    I don't think it works.
    This is not a GS.
    nX = n! + n (n-2)! + n (n-3)! + ......
    whoops XD

    should have picked up on that immediately...

    Time to induct
    wu345 likes this.
    If I am a conic section, then my e = ∞

    Just so we don't have this discussion in the future, my definition of the natural numbers includes 0.

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