I was wondering if anyone could help me with the following question:

Attachment 18181

Thanks, :)

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- July 12th 2010, 05:43 PMjess0517a=3n^(n-1)+2(-1)^n for neN
I was wondering if anyone could help me with the following question:

Attachment 18181

Thanks, :) - July 12th 2010, 06:53 PMJose27
Try induction, it's real easy in this case.

- July 12th 2010, 07:40 PMjess0517
- July 13th 2010, 09:32 AMJose27
- July 13th 2010, 10:47 AMSoroban
Hello, jess0517!

We can prove it by deriving that function ourselves . . .

Quote:

. .

We have: .

Let

. . and we have: .

Divide by

. . Then: .

The generating function is of the form: .

We know the first two values of the sequence:

. .

Add [1] and [2]: .

Substitute into [1]: .

Hence: .

Therefore: .

- July 14th 2010, 03:29 AMmr fantastic
Thread closed due to this member deleting questions after getting help.