document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=853282>Question 853282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rubber ball dropped on a hard surface takes a sequence of bounces, each on 2/5 as high as the preceding one. If this ball is dropped from a height of 10 feet, what is the total vertical distance it has traveled after it hits the surface the fifth time? Be sure to account for both drop and rebound differences.\r<BR>\n" );
document.write( "\n" );
document.write( "a - 22 12/25feet<BR>\n" );
document.write( "b - 32 124/125feet<BR>\n" );
document.write( "c - 25 124/125feet<BR>\n" );
document.write( "d - 22 124/125feet </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #514016 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=514016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ball falls first from 10 feet\r<BR>\n" );
document.write( "\n" );
document.write( "then rises again\r<BR>\n" );
document.write( "\n" );
document.write( "Number of falls = number of rises + 10 feet \r<BR>\n" );
document.write( "\n" );
document.write( "It is a geometric series\r<BR>\n" );
document.write( "\n" );
document.write( "a= 4 <BR>\n" );
document.write( "r= 2/5<BR>\n" );
document.write( "n= 4\r<BR>\n" );
document.write( "\n" );
document.write( "Sn = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a1%281-r%5En%29%29%2F%281-r%29 ALIGN=MIDDLE  ALT=\"%28a1%281-r%5En%29%29%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Substitute the values <BR>\n" );
document.write( "we get Sn = 6 49/99<BR>\n" );
document.write( "Distance during rises\r<BR>\n" );
document.write( "\n" );
document.write( "Distance during falls = 6 49/99 + 10 = 16 49/99 \r<BR>\n" );
document.write( "\n" );
document.write( "Total = 6 49/99 + 16 49/99 = 22 98/99 \r<BR>\n" );
document.write( "\n" );
document.write( "Option (d) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );