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Math Help - Need Help Generalizing This Sequence of Numbers

  1. #1
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    Need Help Generalizing This Sequence of Numbers

    The sequence is as follows:

    ..., -6, -2, 0, 0, 2, 6, 12, 20, ...

    As you can see, the difference between the numbers is a linear progression. I'm having troubles generalizing the sequence though :S
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  2. #2
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    Re: Need Help Generalizing This Sequence of Numbers

    Consider the function n^2-n
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  3. #3
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    Re: Need Help Generalizing This Sequence of Numbers

    Hint :

    WA
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  4. #4
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    Re: Need Help Generalizing This Sequence of Numbers

    Quote Originally Posted by princeps View Post
    Hint :

    WA
    Ooh didn't know WA had one of these, thanks for this.

    e-
    When I include the negatives into the sequence wolfram returns this function:

    (-2 x^3/(x - 1)^3) - 2 x - 6

    but when I graph this function it doesn't appear to resemble the sequence at all :S Can someone please explain why?
    Last edited by Lambert; April 26th 2012 at 09:22 PM.
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