SOLUTION: How to compute the sum of this series? -1+2-3+4-...-(2n-1)+2n

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Question 1173115: How to compute the sum of this series?
-1+2-3+4-...-(2n-1)+2n
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The given series is 2n terms.

Add the terms in pairs to get a new series of n terms. In each pair the sum is 1; so the sum of the original series is n(1) = n.