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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.

 May 28, 2024
 #1
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r = .036 / .4  =  36 / 400 =  9 /100 =  .09

 

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

 

cool cool cool

 May 28, 2024

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