SOLUTION: What is the sum of this infinite geometric series 1-1/3+1/9-...

Question 1013967: What is the sum of this infinite geometric series 1-1/3+1/9-...
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
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What is the sum of this infinite geometric series 1 - 1/3 + 1/9 - . . .
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The first term is 1.
The common ratio is .

Now apply the formula for the sum of an infinite geometric progression with the first term a and the common ratio r, |r| < 1 :

= .

So, in our case

= = = .

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