document.write( "Question 1167888: a child on a swing is given a big push. she travels 12 feet on the back-and-fourth swing but only 5/6 as far on each successive back-and-fourth swing. How far (total distance) does she travel before the swing stops? \n" ); document.write( "
Algebra.Com's Answer #792499 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "back and forth -- not back and fourth....

\n" ); document.write( "This will be an infinite geometric series with first term 24 (feet) and common ratio 5/6.

\n" ); document.write( "The infinite sum is the first term, divided by (1 minus the common ratio).

\n" ); document.write( "\"S+=+a%281%29%2F%281-r%29\"

\n" ); document.write( "Plug in the numbers and calculate.

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