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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.

 Mar 22, 2024
 #1
avatar+128794 
+1

r =  .036 / .4   =  36 / 400  =  9 / 100 =  .09

 

Sum  =   first term / [ 1 - r ]  =   .4  / [ 1 - .09 ] =   .4 / .91  =  40 / 91

 

cool cool cool

 Mar 23, 2024

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