Evaluate the infinite geometric series $0.79 + 0.079 + 0.0079 + 0.00079 + 0.000079 + \dotsb$. express your answer as a fraction with integer numerator and denominator.

Given geomatric series 0.79 + 0.079 + 0.0079 + 0.00079 + 0.000079 +.....

First term of the given geomatric series = 0.79.

Common ratio = =

Sum of infinite geometric series is given by formula

S∞ =

Where, a is the first term and r is the common ratio.

Plgging valus of a and r in above formula, we get

S∞ =

  =

   =

   =

Therefore,

Sum of the infinite geometric series =

$2,703.06

step-by-step explanation:

add: $2,687.44+ $2,613.09+$2,808.64= $8,109.17

divide by 3 because you added 3 numbers.

$8,109.17/3=

answer: $2,703.06