document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891682>Question 891682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. Hoping you can help me answer this question. A) write geometric series -9/2+3/2-1/2+1/6...+1/39366 in summation notation. B)using the formula for the sum of an geometric series, compute the sum. \r<BR>\n" );
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document.write( "Here's what I know. The numerator is multiplied by 1/3 to get from each term to the next. The denominator decreases by 1 when comparing n=term #, n=1 to denom in -9/2, 2-1=1, n=2 in 3/2, 2-2=0 and so on. I see the pattern, just not sure how to write it. Also, when writing it in sn, I know my bottom starting amount will be n=1\r<BR>\n" );
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document.write( "Any help you can give would be appreciated. Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539950 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It looks like each successive number is multiplied by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2nd term : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%289%2F2%29%28-1%2F3%29=3%2F2 ALIGN=MIDDLE  ALT=\"-%289%2F2%29%28-1%2F3%29=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3rd term : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29%28-1%2F3%29=-1%2F2 ALIGN=MIDDLE  ALT=\"%283%2F2%29%28-1%2F3%29=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4th term : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%281%2F2%29%28-1%2F3%29=1%2F6 ALIGN=MIDDLE  ALT=\"-%281%2F2%29%28-1%2F3%29=1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then, continuing on,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F39366 ALIGN=MIDDLE  ALT=\"1%2F39366\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be the 12th term.<BR>\n" );
document.write( "The constant term would be,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28-1%2F3%29=-9%2F2 ALIGN=MIDDLE  ALT=\"a%28-1%2F3%29=-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=27%2F2 ALIGN=MIDDLE  ALT=\"a=27%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then, the series would look like,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=%2827%2F2%29%28-1%2F3%29%5En ALIGN=MIDDLE  ALT=\"A%5Bn%5D=%2827%2F2%29%28-1%2F3%29%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The sum would then be,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=%28-9%2F2%29%28%28%281-%28-1%2F3%29%5En%29%29%2F%281-%28-1%2F3%29%29%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=%28-9%2F2%29%28%28%281-%28-1%2F3%29%5En%29%29%2F%281-%28-1%2F3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=%28-9%2F2%29%28%28%281-%28-1%2F3%29%5En%29%29%2F%284%2F3%29%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=%28-9%2F2%29%28%28%281-%28-1%2F3%29%5En%29%29%2F%284%2F3%29%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=S%5Bn%5D=%28-9%2F2%29%283%2F4%29%281-%28-1%2F3%29%5En%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=%28-9%2F2%29%283%2F4%29%281-%28-1%2F3%29%5En%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=%28-27%2F8%29%281-%28-1%2F3%29%5En%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=%28-27%2F8%29%281-%28-1%2F3%29%5En%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=12 ALIGN=MIDDLE  ALT=\"n=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B12%5D=%28-27%2F8%29%281-%28-1%2F3%29%5E12%29 ALIGN=MIDDLE  ALT=\"S%5B12%5D=%28-27%2F8%29%281-%28-1%2F3%29%5E12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B12%5D=%28-27%2F8%29%281-1%2F531441%29 ALIGN=MIDDLE  ALT=\"S%5B12%5D=%28-27%2F8%29%281-1%2F531441%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28S%5B12%5D=-27%2F8%29 ALIGN=MIDDLE  ALT=\"highlight%28S%5B12%5D=-27%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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