document.write( "Question 367820: A child on a swing is given a big push. she travels 12 feet on the first back and forth swing, but only 5/6 as far on each successive swing. How far does she travel before the swing stops? \n" ); document.write( "

Algebra.Com's Answer #262167 by Edwin McCravy(20063) $\"\"$ $\"About$

You can put this solution on YOUR website!
A child on a swing is given a big push. she travels 12 feet on the first back and forth swing, but only 5/6 as far on each successive swing. How far does she travel before the swing stops?
\n" ); document.write( "

\r\n" );
document.write( "This is an infinite geometric series.  Theoretically the swing never\r\n" );
document.write( "stops, but we know it doesn't.  However we work it mathematically as though\r\n" );
document.write( "it never stops, but eventually swings through such a small distance that it\r\n" );
document.write( "is negligible.  The formula for an infinite geometric series:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "where , \r\n" );
document.write( "\r\n" );
document.write( " feet.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );