document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867349>Question 867349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is dropped vertically from a height of 50 meters. After each bounce, the ball reaches a maximum height equal to 80 percent of the maximum height of the previous bounce.<BR>\n" );
document.write( "a.) Write the first three terms of the sequence. Explain how you know what they are.<BR>\n" );
document.write( "b.) Find the height to the nearest tenth of a meter of the ball after the tenth bounce. Show and explain your work.''. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #522958 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=522958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bn%5D+ ALIGN=MIDDLE  ALT=\"+h%5Bn%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the maximum height of the <BR>\n" );
document.write( "ball after the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" >th bounce<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bn%5D+=+50%2A.8%5En+ ALIGN=MIDDLE  ALT=\"+h%5Bn%5D+=+50%2A.8%5En+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5B1%5D+=+50%2A.8+ ALIGN=MIDDLE  ALT=\"+h%5B1%5D+=+50%2A.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5B1%5D+=+40+ ALIGN=MIDDLE  ALT=\"+h%5B1%5D+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5B2%5D+=+50%2A.8%5E2+ ALIGN=MIDDLE  ALT=\"+h%5B2%5D+=+50%2A.8%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5B2%5D+=+32+ ALIGN=MIDDLE  ALT=\"+h%5B2%5D+=+32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5B3%5D+=+50%2A.8%5E3+ ALIGN=MIDDLE  ALT=\"+h%5B3%5D+=+50%2A.8%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5B3%5D+=+25.6+ ALIGN=MIDDLE  ALT=\"+h%5B3%5D+=+25.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Each result is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.8+ ALIGN=MIDDLE  ALT=\"+.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the previous result<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5B10%5D+=+50%2A.8%5E10+ ALIGN=MIDDLE  ALT=\"+h%5B10%5D+=+50%2A.8%5E10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5B10%5D+=+50%2A.1074+ ALIGN=MIDDLE  ALT=\"+h%5B10%5D+=+50%2A.1074+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5B10%5D+=+5.4+ ALIGN=MIDDLE  ALT=\"+h%5B10%5D+=+5.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "You could do successive multiplications<BR>\n" );
document.write( "but I used a calculator\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );