1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    jedishrfu

    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 !
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: A Series of Even numbers squared
  1. Squares and Numbers (Replies: 4)

Loading...