Identify the function

Homework Statement

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

Homework Equations

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

The Attempt at a Solution

I have :

I'm still looking for how to rewrite.

Thanks,
glenn

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HallsofIvy
Homework Helper

Homework Statement

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

Homework Equations

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

The Attempt at a Solution

I have :

I'm still looking for how to rewrite.

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