-3, -2, 0, 3

Can someone tell me what the algebra expression is for this pattern. One variable only. Thanks so much!!!

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- October 20th 2010, 10:35 AMsquall458Pattern question is stumping me!
-3, -2, 0, 3

Can someone tell me what the algebra expression is for this pattern. One variable only. Thanks so much!!! - October 20th 2010, 11:09 AMmasters
- October 20th 2010, 11:15 AMSoroban
Hello, squall458!

I'll show you a procedure for this problem.

It's rather long, but it's simple and direct.

Quote:

Can someone tell me what the algebra expression is for this pattern?

Take the difference of consecutive terms,

. . then take difference of the differences and so on.

. .

We see that thedifferences are constant.*second*

Hence, the generating function is of thedegree . . . a quadratic.*second*

The general quadratic function is: .

Use the first three terms of the sequence and set up a system of equations:

. .

. .

. .

. .

. .

Therefore, the generating function is:

. . .

- October 20th 2010, 12:11 PMmasters
Told you he would!!