document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=731077>Question 731077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.	A ball is dropped vertically from a height of 80 meters. After each bounce, the ball reaches a maximum height equal to 60 percent of 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 eighth bounce. Show and<BR>\n" );
document.write( "             explain your work.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446984 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=446984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> After 1st bounce,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+.6%2A80+ ALIGN=MIDDLE  ALT=\"+h+=+.6%2A80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After 2nd bounce,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+.6%2A%28+.6%2A80+%29+ ALIGN=MIDDLE  ALT=\"+h+=+.6%2A%28+.6%2A80+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After 3rd bounce,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+.6%2A%28+.6%2A%28+.6%2A80+%29+%29+ ALIGN=MIDDLE  ALT=\"+h+=+.6%2A%28+.6%2A%28+.6%2A80+%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the general formula is<BR>\n" );
document.write( "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+=+.6%5En+%2A+80+ ALIGN=MIDDLE  ALT=\"+h+=+.6%5En+%2A+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.6%2A80+=+48+ ALIGN=MIDDLE  ALT=\"+.6%2A80+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" >m<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.36%2A80+=+28.8+ ALIGN=MIDDLE  ALT=\"+.36%2A80+=+28.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >m<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.216%2A80+=+17.28+ ALIGN=MIDDLE  ALT=\"+.216%2A80+=+17.28+\"   DISABLED_style= \"max-width:90%; height:auto;\" >m<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+.6%5E8+%2A80+=+.0168%2A80+ ALIGN=MIDDLE  ALT=\"+h+=+.6%5E8+%2A80+=+.0168%2A80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+1.344+ ALIGN=MIDDLE  ALT=\"+h+=+1.344+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );