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Digiron [165]
4 years ago
11

Find the sum of the following infinite geometric series, if it exists. 1/3+1/9+1/27+1/81+...

Advanced Placement (AP)
1 answer:
kkurt [141]4 years ago
5 0
The given infinite geometric series is
\frac{1}{3},\, \frac{1}{9}, \,  \frac{1}{27}   , \,  \frac{1}{81} , \, ...,

The first term is a = 1/3.
The common ratio is r = 1/3.

The sum is
\frac{a}{1-r}= \frac{1/3}{1 - 1/3}  =  \frac{1}{2}

Answer:  1/2
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