I found something, but I'm not sure what it is. Summation Notation

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saganforever
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I came across this yesterday when I was looking for equalities between the sums of two summations.
summationrelationship.jpg
I'm not sure if this is part of a proof or what.
 
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To see how this equality is true, remember that the sum of the first n integers is given by the formula: n(n+1)/2
 
I'd not come across that before... pretty nice :) Simple yet elegant
 
Thanks :) I'm 15 and just learned summation notation. I was playing with it for a few hours Saturday and my high school Geometry teacher thought it was pretty neat.