document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867322>Question 867322</A>: <I><SPAN STYLE=\"word-break: break-all;\">  3. 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 #522959 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=522959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> drops from 50 m<BR>\n" );
document.write( "height reached = 0.8 time previous height\r<BR>\n" );
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document.write( "h2= 0.8*50 = 40\r<BR>\n" );
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document.write( "h3=0.8*40=32\r<BR>\n" );
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document.write( "The first three terms are 50, 40, 32\r<BR>\n" );
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document.write( "t2/t1= 50/40 = 5/4\r<BR>\n" );
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document.write( "t3/t2= 40/32 = 5/4\r<BR>\n" );
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document.write( "The ratio of the term and the preceeding term is a constant. The common ratio.  and less than 1\r<BR>\n" );
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document.write( "It is a geometric sequence\r<BR>\n" );
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document.write( "after 10 bounces\r<BR>\n" );
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document.write( "tn=a*r^(n-1)<BR>\n" );
document.write( "nth. term of a GP\r<BR>\n" );
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document.write( "a=50<BR>\n" );
document.write( "r=0.8<BR>\n" );
document.write( "n=10\r<BR>\n" );
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document.write( "t10 = 50*0.8^9<BR>\n" );
document.write( "=6.71 m </SPAN>\n" );
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