SOLUTION: find sum of infinite series 1/2^n and series -1/2^n

Question 758998: find sum of infinite series 1/2^n
and series -1/2^n
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The nth term of a geometric series is normally written
For this series, we know that the infinite sum
The series has a=1 and r=1/2. This series has terms 1/2, 1/4, 1/8...
The series above has terms 1, 1/2, 1/4, 1/8...
So the two series differ by 1.
The sum of the series
Therefore the sum of the series
I'll leave it to you to figure out the other one.
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