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Calculate the sum of the geometric series \(1+\left(\frac{1}{5}\right)+\left(\frac{1}{5}\right)^2 + \left(\frac{1}{5}\right)^3 + \dots\). Express your answer as a common fraction.

 Jun 30, 2020
 #1
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Just use the formula for a geometric series.

 Jun 30, 2020
 #2
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it will converge to 1.25

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 Jun 30, 2020
edited by bunnybeer  Jun 30, 2020
 #3
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It overally becomes 1+1/5+1/25+1/125+1/625+1/3125... which is 1.24992 so we have 1.25 when we add them all

 Jun 30, 2020
 #4
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Thank you!!!

AnimalMaster  Jun 30, 2020

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