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" );
document.write( "\n" );
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" );
document.write( "\n" );
document.write( "Please help!\r<BR>\n" );
document.write( "\n" );
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" );
document.write( "\n" );
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 #637345 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=637345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to sum the geometric series<BR>\n" );
document.write( ":<BR>\n" );
document.write( "the sum begins at h<BR>\n" );
document.write( ":<BR>\n" );
document.write( "note that the ball has to bounce up and down, then<BR>\n" );
document.write( ":<BR>\n" );
document.write( "we need the summation from 0 to infinity of 2h(0.8)^n<BR>\n" );
document.write( ":<BR>\n" );
document.write( "we are give total vertical distance is 63 meters<BR>\n" );
document.write( ":<BR>\n" );
document.write( "if we ignore the multiplier, a geometric series will sum o to infinity to<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1(1 - r) = 1 / (1 - 0.8) = 10 / 2 = 5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "63 = 5(2h) - h<BR>\n" );
document.write( "note we have to subtract h since we counted it and it does not count  :-)<BR>\n" );
document.write( "63 = 9h<BR>\n" );
document.write( "9h = 63<BR>\n" );
document.write( "**********************<BR>\n" );
document.write( "h = 7 meters<BR>\n" );
document.write( "the ball was dropped from 7 meters<BR>\n" );
document.write( "********************* </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );