document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021597>Question 1021597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, this was in one of my sequence/series questions.\r<BR>\n" );
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document.write( "Im pretty sure its got something to do with geometric series, but i dont know how to problem solve using the formula.\r<BR>\n" );
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document.write( "Please help!\r<BR>\n" );
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document.write( "A bouncy ball is dropped from a height of h meters and allowed to bounce indefinitely. Each succeeding bounce is 0.8 of the preceding one...<BR>\n" );
document.write( "If the total vertical distance traveled by the ball is 63 meters, from what height was the ball dropped?\r<BR>\n" );
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document.write( "Thank you very much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637342 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=637342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bouncy ball is dropped from a height of h meters and allowed to bounce indefinitely. Each succeeding bounce is 0.8 of the preceding one...<BR>\n" );
document.write( "If the total vertical distance traveled by the ball is 63 meters, from what height was the ball dropped? <BR>\n" );
document.write( "Thank you very much <BR>\n" );
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document.write( "You are correct; it's an infinite geometric series.<BR>\n" );
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document.write( "h, 0.8h, 0.8^2h, ...<BR>\n" );
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document.write( "S(n) = a/(1-r)<BR>\n" );
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document.write( "Your Problem::<BR>\n" );
document.write( "S(n) = h/(1-0.8) = h/0.2 = 10h/2 = 5h<BR>\n" );
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document.write( "Solve:: 5h = 63 meters<BR>\n" );
document.write( "height = 12.6 meters\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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