document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035304>Question 1035304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a geometric series, the 9th term is equal to 8 times the 6th term, while the sum of the first five terms is 93. Find the nth term of this series and the sum of the first twenty terms. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650012 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650012\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is given that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B9%5D+=+8a%5B6%5D ALIGN=MIDDLE  ALT=\"a%5B9%5D+=+8a%5B6%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D%2Ar%5E8+=+8%2Aa%5B1%5D%2Ar%5E5 ALIGN=MIDDLE  ALT=\"a%5B1%5D%2Ar%5E8+=+8%2Aa%5B1%5D%2Ar%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3+=+8 ALIGN=MIDDLE  ALT=\"r%5E3+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+2 ALIGN=MIDDLE  ALT=\"r+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Now from the other given, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B5%5D+=+a%5B1%5D%2A%28%281-2%5E5%29%2F%281-2%29%29+=+31a%5B1%5D+=+93 ALIGN=MIDDLE  ALT=\"S%5B5%5D+=+a%5B1%5D%2A%28%281-2%5E5%29%2F%281-2%29%29+=+31a%5B1%5D+=+93\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+3 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "==> The general term of this geometric sequence is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=3%2A2%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=3%2A2%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The sum of the first twenty terms is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B20%5D+=+3%2A%28%281-2%5E20%29%2F%281-2%29%29+=+3145725 ALIGN=MIDDLE  ALT=\"S%5B20%5D+=+3%2A%28%281-2%5E20%29%2F%281-2%29%29+=+3145725\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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