Given that r^2 +1 = (r+2)(r+1) - 3(r+1) + 2

Show that Sigma r=1 r=n (r^2 + 1)r! = n(n+1)!

Help please ><

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- Jun 19th 2012, 11:26 AMnicjoelimSeries and Sequences, Sigma notation.
Given that r^2 +1 = (r+2)(r+1) - 3(r+1) + 2

Show that Sigma r=1 r=n (r^2 + 1)r! = n(n+1)!

Help please >< - Jun 19th 2012, 11:46 AMrichard1234Re: Series and Sequences, Sigma notation.
I understand that you're new here, welcome to MHF. Next time, you may want to wrap [tex] tags, so your question will look like this:

Given that

Show that .

Anyway, replace with so that our summation becomes

Note that if , all of the terms cancel out, leaving

, this factors to . - Jun 19th 2012, 11:51 AMnicjoelimRe: Series and Sequences, Sigma notation.
OMG Thank You :)