# Identify the function

1. Apr 5, 2007

### cybercrypt13

1. The problem statement, all variables and given/known data

We were asked to identify and rewrite the following statement. Not sure how to do a sum sign here so will just write sum for it:

sum (lower i=0)(upper 2n) (i/n)^2 (1/n) = 1/n^3[ 1^3 + 2^3 + 3^3 + ... + (2n)^2

2. Relevant equations

I believe this is a Riemann Sum but not sure how to rewrite it.

3. The attempt at a solution

I have :

I'm still looking for how to rewrite.

Thanks,
glenn

2. Apr 6, 2007

### HallsofIvy

Staff Emeritus
$$\sum_{i=0}^{2n}\frac{i^2}{n^3}$$
Note that this is NOT i3!

Do you know a formula for the sum of squares: 1+ 4+ 9+ 16+ ...?