document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=219570>Question 219570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rubber ball is dropped from the height of 13.5 feet. After each bounce the ball only goes up by 60% of what it did on the previous bounce. How high will the ball go after the 38th bounce? I took the 13.5x .6 for the 1st bounce which is 8.1Ft. and the 2nd bounce is 4.9ft. and the third is 2.9ft. I could do this for all the bounces but it would take me forever. How can I write a formula to just put in bounce to get height? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165092 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll try to write a general formula.<BR>\n" );
document.write( "After the 1st  and succeeding bounces,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+.6%2A13.5 ALIGN=MIDDLE  ALT=\"h+=+.6%2A13.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+.6%2A.6%2A13.5 ALIGN=MIDDLE  ALT=\"h+=+.6%2A.6%2A13.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+.6%2A.6%2A.6%2A13.5 ALIGN=MIDDLE  ALT=\"h+=+.6%2A.6%2A.6%2A13.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It looks like the formula would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+13.5%2A.6%5En ALIGN=MIDDLE  ALT=\"h+=+13.5%2A.6%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the number of bounces<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the height after that bounce<BR>\n" );
document.write( "After <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38 ALIGN=MIDDLE  ALT=\"38\"   DISABLED_style= \"max-width:90%; height:auto;\" > bounces,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+13.5%2A.6%5E38 ALIGN=MIDDLE  ALT=\"h+=+13.5%2A.6%5E38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+13.5%2A3.713%2A10%5E%28-9%29 ALIGN=MIDDLE  ALT=\"h+=+13.5%2A3.713%2A10%5E%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+5.0128%2A10%5E%28-8%29 ALIGN=MIDDLE  ALT=\"h+=+5.0128%2A10%5E%28-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "How much is that in millionths of an inch?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E6%2A12+=+1.2%2A10%5E5 ALIGN=MIDDLE  ALT=\"10%5E6%2A12+=+1.2%2A10%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > millionths of inch/ft<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+5.0128%2A10%28-8%29%2A1.2%2A10%5E5 ALIGN=MIDDLE  ALT=\"h+=+5.0128%2A10%28-8%29%2A1.2%2A10%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+6.015%2A10%5E%28-3%29 ALIGN=MIDDLE  ALT=\"h+=+6.015%2A10%5E%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+6.015 ALIGN=MIDDLE  ALT=\"h+=+6.015\"   DISABLED_style= \"max-width:90%; height:auto;\" > billionths <BR>\n" );
document.write( "of an inch after the 38th bounce<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );