Rewriting a Riemann Sum Statement: Identify the Function

[cybercrypt13]

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

 

[HallsofIvy]

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+ ...?