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 =

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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