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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.

 Jul 13, 2024
 #1
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Since we have\(r = .036 / .4 = 36 / 400 = 9 /100 = .09 \), our answer is

\(.4 / [ 1 -.09] = .4 / .91 = 40 /91\)

 Jul 15, 2024

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