SOLUTION: Find the sum <img src="http://i293.photobucket.com/albums/mm56/cool_user2004/8-1.png" alt="Photobucket - Video and Image Hosting">

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Question 172794: Find the sum

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Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Note: there are terms that need to be added.


Start with the given summation


Break up the summation


Since the 2nd term has no variables, we can simply multiply the inner value -5 by the number of terms 156


Multiply


Pull out the coefficient 4



Now this is where the formula comes in. There's one small problem though: the terms NEED to start at 1. So what this means is that we have to break into





Now use the formula


Add


Reduce


Multiply


Subtract


--------------------------------------------------


So the expression




then becomes





Multiply


Subtract


So this means that

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