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OverLord2011 [107]
3 years ago
13

Find the sum of the following infinite geometric series, if it exists.

Mathematics
1 answer:
Katena32 [7]3 years ago
8 0
The sum of an infiinte series exists when the ratio is in the interval (-1,1)

Here the ratio is 1/3, then the sum exists.

The formula for this sum is A / (1 -r); where A is the first term and r is the ratio

Then, the sum is [1/3] / [1 -1/3] = [1/3] / [2/3] = 1/2

Answer: 1/2
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