Question 1041860: Please help me find the sum of this series if it has one.
Series: https://s32.postimg.org/t2bcfjjlh/series_1.png
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! It is (14-2k) where k runs from 3 to 15. It has a sum.
The first term is 14-2(3)=8
The second term is 14-2(4)=6
so the terms are
8,6,4,2,0,-2,-4,-6,-8,-10,-12,-14,-16
The sum may be computed by canceling 2 and -2 up to 8 and -8
The remaining terms are -10,-12,-14,-16, and they add to -52.
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