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# Evaluate the infinite geometric series:​

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Evaluate the infinite geometric series:$$2+\frac{1}{9}+\frac{1}{162}+\frac{1}{2916}+\dots$$

michaelcai  Jan 26, 2018
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Sum = F / [1 - R], where F=First term, R = Common Ratio

Ratio = (1/9) / 2 =(1/9 x 1/2) =1 / 18

Sum = 2 / [1 - 1/18]

Sum = 2 / [17/18]

Sum = 2 x [18/17]

Sum = 36 / 17

Guest Jan 26, 2018