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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- Apr 26th 2012, 08:20 PMLambertNeed 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 - Apr 26th 2012, 08:54 PMpickslidesRe: Need Help Generalizing This Sequence of Numbers
Consider the function $\displaystyle n^2-n$

- Apr 26th 2012, 09:10 PMprincepsRe: Need Help Generalizing This Sequence of Numbers
Hint :

WA - Apr 26th 2012, 09:17 PMLambertRe: Need Help Generalizing This Sequence of Numbers
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?