document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818503>Question 818503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find a geometric progression of four terms in which the sum of the first and last terms is 27 and the sum of the middle terms is 18. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492616 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=492616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a, ar, ar^2, ar^3 are the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bar%5E3=27 ALIGN=MIDDLE  ALT=\"a%2Bar%5E3=27\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ar%2Bar%5E2=18 ALIGN=MIDDLE  ALT=\"ar%2Bar%5E2=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%281%2Br%5E2%29=27 ALIGN=MIDDLE  ALT=\"a%281%2Br%5E2%29=27\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ar%2Br%29%281%2Br%29=18 ALIGN=MIDDLE  ALT=\"%28ar%2Br%29%281%2Br%29=18\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%28a%2B1%29%281%2Br%29=18 ALIGN=MIDDLE  ALT=\"r%28a%2B1%29%281%2Br%29=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "Also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bar%2Bar%5E2%2Bar%5E3=39 ALIGN=MIDDLE  ALT=\"a%2Bar%2Bar%5E2%2Bar%5E3=39\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "One task might be solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%281%2Br%5E2%29=27 ALIGN=MIDDLE  ALT=\"a%281%2Br%5E2%29=27\"   DISABLED_style= \"max-width:90%; height:auto;\" > for a, and solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%28a%2B1%29%281%2Br%29=18 ALIGN=MIDDLE  ALT=\"r%28a%2B1%29%281%2Br%29=18\"   DISABLED_style= \"max-width:90%; height:auto;\" > for r;  and then you can get an expression for the term ar and you can also get a value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ar ALIGN=MIDDLE  ALT=\"ar\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Ordinarily, I would solve a help-requested problem at least partially or give a more complete strategy.  I won't this time.  Can what I gave so far help with this problem?  What I'm doing here is not the best way, but might be enough for you to make progress with the question. </SPAN>\n" );
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