A Series of Even numbers squared

[hms.tech]

Homework Statement

Is there a general formula for the sum of such a series (or can it be self derived) ?

2^2 + 4^2 + 6^2 + 8^2 ... N^2 (all the way till some even number N)

Homework Equations

\sum r^2 (from r=1 to r=N) = 1/6 * n(n+1)(2n+1)

The Attempt at a Solution

No clue where to start.

 

[jedishrfu]

Do all the terms have a common factor that you can pull out?

 

[hms.tech]

Oh... I did not see that. Great thinking !

After taking 2^2 common we will get a simple sequence :

1^2 + 2^2 + 3^2 + 4^2 ...

I think I get it !