Recent content by Marth361

I can see where you are going with this but wouldn't I arrive at f(n) being equal to some sum. I believe it would come out to be... f(n)=n^{2}-\sumi^{2} from i=1 to i=n-1 If this is the case than any g(x) will involve me finding the partial sum of some series. Which is easy in this case...

Hi I'm doing a project in math and seem to be stuck on one part. I come to trying to solve this recursion equation given by... f(x) = -f(x-1) + g(x) where g(x) is known. Would anyone mind showing me how to go around solving for f(x)? In this case i have g(x)=x^{2} and f(0)=0 and...

Converges to... If "b" is any constant number, what does the infinite sum \sum [(-1)^n * b^(2n+2)] / (2n+2)! converge to (in terms of "b")?