document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038972>Question 1038972</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a given geometric sequence, the 5th term, a5, is equal to 11/256, and the 10th term, a10, is equal to &#8722;44. Find the value of the 12th term, a12. If applicable, write your answer as a fraction.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653689 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=653689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "For a given geometric sequence, the 5th term, a5, is equal to 11/256, and the 10th term, a10, is equal to 44. <BR>\n" );
document.write( "Find the value of the 12th term, a12. If applicable, write your answer as a fraction. <BR>\n" );
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document.write( "Take the ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B10%5D%2Fa%5B5%5D ALIGN=MIDDLE  ALT=\"a%5B10%5D%2Fa%5B5%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44%2F%28%2811%2F256%29%29 ALIGN=MIDDLE  ALT=\"44%2F%28%2811%2F256%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=256%2A4 ALIGN=MIDDLE  ALT=\"256%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1024 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E10 ALIGN=MIDDLE  ALT=\"2%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Take the 5-degree root of this ratio: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C+2%5E10%29 ALIGN=MIDDLE  ALT=\"root%285%2C+2%5E10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2 ALIGN=MIDDLE  ALT=\"2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4.\r<BR>\n" );
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document.write( "It is your <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the common ratio.\r<BR>\n" );
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document.write( "Then multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B10%5D ALIGN=MIDDLE  ALT=\"a%5B10%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2 ALIGN=MIDDLE  ALT=\"r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You will get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44%2A4%5E2 ALIGN=MIDDLE  ALT=\"44%2A4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=704 ALIGN=MIDDLE  ALT=\"704\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "It is your answer.\r<BR>\n" );
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document.write( "As the last step, think, why it is correct.\r<BR>\n" );
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document.write( "Your lesson on geometric progressions is <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Sequences-and-series/Geometric-progressions.lesson>Geometric progressions</A> in this site.\r<BR>\n" );
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