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Homework Help: A Series of Even numbers squared

  1. Mar 1, 2013 #1
    1. The problem statement, all variables and given/known data

    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)
    2. Relevant equations

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

    3. The attempt at a solution

    No clue where to start.
  2. jcsd
  3. Mar 1, 2013 #2


    Staff: Mentor

    Do all the terms have a common factor that you can pull out?
  4. Mar 2, 2013 #3
    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 !
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