document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197284>Question 1197284</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the 12th term of a Geometric Sequence whose 3rd term is 432 and the 5th term is 15552 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #830501 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=830501\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( " general term is:\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B+n%5D=+a+%5B1%5D%2A+r%5E%28+n+-1%29 ALIGN=MIDDLE  ALT=\"a%5B+n%5D=+a+%5B1%5D%2A+r%5E%28+n+-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "3rd term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B3%5D=432 ALIGN=MIDDLE  ALT=\"a%5B3%5D=432\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5th term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B5%5D=15552 ALIGN=MIDDLE  ALT=\"a%5B5%5D=15552\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "find  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   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=432=+a+%5B1%5D%2A+r%5E%28+3+-1%29 ALIGN=MIDDLE  ALT=\"432=+a+%5B1%5D%2A+r%5E%28+3+-1%29\"   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=432=+a+%5B1%5D%2A+r%5E2 ALIGN=MIDDLE  ALT=\"432=+a+%5B1%5D%2A+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   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=432%2Fr%5E2 ALIGN=MIDDLE  ALT=\"a+%5B1%5D=432%2Fr%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15552=+a+%5B1%5D%2A+r%5E%28+5+-1%29 ALIGN=MIDDLE  ALT=\"15552=+a+%5B1%5D%2A+r%5E%28+5+-1%29\"   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=15552=+a+%5B1%5D%2A+r%5E4 ALIGN=MIDDLE  ALT=\"15552=+a+%5B1%5D%2A+r%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   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=15552%2Fr%5E4 ALIGN=MIDDLE  ALT=\"a+%5B1%5D=15552%2Fr%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............eq.2\r<BR>\n" );
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document.write( "from eq.1 and eq.2 we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=432%2Fr%5E2=15552%2Fr%5E4 ALIGN=MIDDLE  ALT=\"432%2Fr%5E2=15552%2Fr%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >........cross multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=432r%5E4=15552r%5E2 ALIGN=MIDDLE  ALT=\"432r%5E4=15552r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=432r%5E2=15552 ALIGN=MIDDLE  ALT=\"432r%5E2=15552\"   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%5E2=15552%2F432 ALIGN=MIDDLE  ALT=\"r%5E2=15552%2F432\"   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%5E2=36 ALIGN=MIDDLE  ALT=\"r%5E2=36\"   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=6 ALIGN=MIDDLE  ALT=\"r=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "go to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%5B1%5D=432%2Fr%5E2 ALIGN=MIDDLE  ALT=\"a+%5B1%5D=432%2Fr%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............eq.1, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   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=432%2F6%5E2 ALIGN=MIDDLE  ALT=\"a+%5B1%5D=432%2F6%5E2\"   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=432%2F36 ALIGN=MIDDLE  ALT=\"a+%5B1%5D=432%2F36\"   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=12 ALIGN=MIDDLE  ALT=\"a+%5B1%5D=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "your nth term formula is:\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B+n%5D=+12%2A+6%5E%28+n+-1%29 ALIGN=MIDDLE  ALT=\"a%5B+n%5D=+12%2A+6%5E%28+n+-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then, the 12th term will be\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B+12%5D=+12%2A+6%5E%28+12+-1%29 ALIGN=MIDDLE  ALT=\"a%5B+12%5D=+12%2A+6%5E%28+12+-1%29\"   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%5B+12%5D=+12%2A+6%5E11 ALIGN=MIDDLE  ALT=\"a%5B+12%5D=+12%2A+6%5E11\"   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%5B+12%5D=+4353564672 ALIGN=MIDDLE  ALT=\"a%5B+12%5D=+4353564672\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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