SOLUTION: Evaluate the infinite geometric series 0.4 + 0.016 + ... Express your answer as a fraction with integer numerator and denominator.

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Question 1209386: Evaluate the infinite geometric series
0.4 + 0.016 + ...
Express your answer as a fraction with integer numerator and denominator.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The given infinite geometric series is

0.4 + 0.016 + ...

The first term is a = 0.4

The common ratio is r = 0.016/0.4 = 0.04

The infinite sum is

a%2F%281-r%29=0.4%2F%281-.04%29=0.4%2F0.96=40%2F96=5%2F12

ANSWER: 5/12