# Need Help Generalizing This Sequence of Numbers

• Apr 26th 2012, 08:20 PM
Lambert
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
• Apr 26th 2012, 08:54 PM
pickslides
Re: Need Help Generalizing This Sequence of Numbers
Consider the function $n^2-n$
• Apr 26th 2012, 09:10 PM
princeps
Re: Need Help Generalizing This Sequence of Numbers
Hint :

WA
• Apr 26th 2012, 09:17 PM
Lambert
Re: Need Help Generalizing This Sequence of Numbers
Quote:

Originally Posted by princeps
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?