document.write( "Question 1209386: Evaluate the infinite geometric series
\n" ); document.write( "0.4 + 0.016 + ...
\n" ); document.write( "Express your answer as a fraction with integer numerator and denominator.
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Algebra.Com's Answer #848732 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The given infinite geometric series is

\n" ); document.write( "0.4 + 0.016 + ...

\n" ); document.write( "The first term is a = 0.4

\n" ); document.write( "The common ratio is r = 0.016/0.4 = 0.04

\n" ); document.write( "The infinite sum is

\n" ); document.write( "\"a%2F%281-r%29=0.4%2F%281-.04%29=0.4%2F0.96=40%2F96=5%2F12\"

\n" ); document.write( "ANSWER: 5/12

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