document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152056>Question 1152056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the sum 2+(-6)+18 + ......(-486)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #773975 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=773975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the sum <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B%28-6%29%2B18+ ALIGN=MIDDLE  ALT=\"2%2B%28-6%29%2B18+\"   DISABLED_style= \"max-width:90%; height:auto;\" >+ ......<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-486%29 ALIGN=MIDDLE  ALT=\"%28-486%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=r=-6%2F2=18%2F-6=-3 ALIGN=MIDDLE  ALT=\"r=-6%2F2=18%2F-6=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > => common ratio is<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=+-3 ALIGN=MIDDLE  ALT=\"r=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "first term: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=2 ALIGN=MIDDLE  ALT=\"a%5B1%5D=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "last term:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bn%5D=-486 ALIGN=MIDDLE  ALT=\"+t%5Bn%5D=-486\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the number of terms in this sequence is: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bn%5D=a%5B1%5D%2Ar%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"+t%5Bn%5D=a%5B1%5D%2Ar%5E%28n-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=+-486=2%2A%28-3%29%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"+-486=2%2A%28-3%29%5E%28n-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=+-cross%28486%29243=cross%282%29%2A%28-3%29%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"+-cross%28486%29243=cross%282%29%2A%28-3%29%5E%28n-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=+-243=%28-3%29%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"+-243=%28-3%29%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-243=%28-3%29%5E5 ALIGN=MIDDLE  ALT=\"-243=%28-3%29%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=+%28-3%29%5E5=%28-3%29%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"+%28-3%29%5E5=%28-3%29%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >............exponents with same base, so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=n-1+ ALIGN=MIDDLE  ALT=\"5=n-1+\"   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=n=5%2B1 ALIGN=MIDDLE  ALT=\"n=5%2B1\"   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=n=6 ALIGN=MIDDLE  ALT=\"n=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then, the sum of all terms is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=%28a%5B1%5D%281-r%5En%29%29%2F%281-r%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=%28a%5B1%5D%281-r%5En%29%29%2F%281-r%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%5B6%5D=%282%281-%28-3%29%5E6%29%29%2F%281-%28-3%29%29 ALIGN=MIDDLE  ALT=\"S%5B6%5D=%282%281-%28-3%29%5E6%29%29%2F%281-%28-3%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%5B6%5D=%282%281-729%29%29%2F%281%2B3%29 ALIGN=MIDDLE  ALT=\"S%5B6%5D=%282%281-729%29%29%2F%281%2B3%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%5B6%5D=%282%281-729%29%29%2F4 ALIGN=MIDDLE  ALT=\"S%5B6%5D=%282%281-729%29%29%2F4\"   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%5B6%5D=%28cross%282%29%28-728%29%29%2Fcross%284%292 ALIGN=MIDDLE  ALT=\"S%5B6%5D=%28cross%282%29%28-728%29%29%2Fcross%284%292\"   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%5B6%5D=-728%2F2 ALIGN=MIDDLE  ALT=\"S%5B6%5D=-728%2F2\"   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%5B6%5D=-364 ALIGN=MIDDLE  ALT=\"S%5B6%5D=-364\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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