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

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