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Evaluate the infinite geometric series
0.4 + 0.036 + 0.0000324 + ...
Express your answer as a fraction with integer numerator and denominator.

 Jun 26, 2024
 #1
avatar+129725 
+1

The common ratio is  .036 / .4 =  9/100

 

The sum is

 

.4 / (1 - 9/100)  =  (4/10) / ( 91/100)  =  40 /  91

 

cool cool cool

 Jun 26, 2024

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