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So here is the problem.

 

How many squares are on a standard (8 x 8) checkerboard?

A word of caution when introducing this task: Often this is seen as somewhat trivial, counting just the 64 small squares; some go an extra step and realize that the whole board is also a square, for a total of 65.  Do recognize that the board also has 2 x 2 squares, 3 x 3 squares, and so on.

 

So I found the answer to this but there is also an equation to this too.  The equation is (n(n+1)(2n+1))/6 however I have no idea how to get that and how it works.  Can someone explain how they got the equation?

 
 Sep 7, 2016

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