SOLUTION: Find the sum of the first ten terms of the geometric series 2-1+�-�+...

Question 1106812: Find the sum of the first ten terms of the geometric series 2-1+�-�+...
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

I personally don't like the formula for the sum of a finite geometric series; for most problems of this type I just do the arithmetic, if the numbers make it practical.

Since this is an alternating series, it simplifies things to group the terms in pairs.

; ; etc.

So the sum of 10 terms of the given geometric series is the sum of 5 terms of this new geometric series:

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