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# help...!

0
117
4
+794

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
-1

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
+1154
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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
+794
-1

Thank you!!!

AnimalMaster  Jun 30, 2020