document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161258>Question 1161258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> S is an arithmetic series.\r<BR>\n" );
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document.write( "S12 = 150\r<BR>\n" );
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document.write( "S25 = 875\r<BR>\n" );
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document.write( "What is the value of S40?  Round to 2 decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784769 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=784769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S ALIGN=MIDDLE  ALT=\"S\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an arithmetic series.\r<BR>\n" );
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document.write( "so, 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=S%5Bn%5D=S%5B1%5D%2Bd%28n-1%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=S%5B1%5D%2Bd%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B12%5D+=+150 ALIGN=MIDDLE  ALT=\"S%5B12%5D+=+150\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150=S%5B1%5D%2Bd%2812-1%29 ALIGN=MIDDLE  ALT=\"150=S%5B1%5D%2Bd%2812-1%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=150=S%5B1%5D%2B11d ALIGN=MIDDLE  ALT=\"150=S%5B1%5D%2B11d\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B1%5D ALIGN=MIDDLE  ALT=\"S%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=S%5B1%5D=150-11d ALIGN=MIDDLE  ALT=\"S%5B1%5D=150-11d\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.1\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B25%5D+=+875 ALIGN=MIDDLE  ALT=\"S%5B25%5D+=+875\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=875=S%5B1%5D%2Bd%2825-1%29 ALIGN=MIDDLE  ALT=\"875=S%5B1%5D%2Bd%2825-1%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=875=S%5B1%5D%2B24d ALIGN=MIDDLE  ALT=\"875=S%5B1%5D%2B24d\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B1%5D ALIGN=MIDDLE  ALT=\"S%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=S%5B1%5D=875-24d ALIGN=MIDDLE  ALT=\"S%5B1%5D=875-24d\"   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=150-11d=875-24d ALIGN=MIDDLE  ALT=\"150-11d=875-24d\"   DISABLED_style= \"max-width:90%; height:auto;\" >...solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   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=24d-11d=875-150 ALIGN=MIDDLE  ALT=\"24d-11d=875-150\"   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=13d=725 ALIGN=MIDDLE  ALT=\"13d=725\"   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=d=725%2F13 ALIGN=MIDDLE  ALT=\"d=725%2F13\"   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=S%5B1%5D=150-11d ALIGN=MIDDLE  ALT=\"S%5B1%5D=150-11d\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.1, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   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%5B1%5D=150-11%28725%2F13%29 ALIGN=MIDDLE  ALT=\"S%5B1%5D=150-11%28725%2F13%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%5B1%5D=150-7975%2F13 ALIGN=MIDDLE  ALT=\"S%5B1%5D=150-7975%2F13\"   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%5B1%5D=-6025%2F13 ALIGN=MIDDLE  ALT=\"S%5B1%5D=-6025%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "your formula 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=-6025%2F13%2B%28725%2F13%29%28n-1%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=-6025%2F13%2B%28725%2F13%29%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then,  the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B40%5D ALIGN=MIDDLE  ALT=\"S%5B40%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B40%5D=-6025%2F13%2B%28725%2F13%29%2840-1%29 ALIGN=MIDDLE  ALT=\"S%5B40%5D=-6025%2F13%2B%28725%2F13%29%2840-1%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=S%5B40%5D=-6025%2F13%2B%28725%2F13%29%2839%29 ALIGN=MIDDLE  ALT=\"S%5B40%5D=-6025%2F13%2B%28725%2F13%29%2839%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%5B40%5D=-6025%2F13%2B2175 ALIGN=MIDDLE  ALT=\"S%5B40%5D=-6025%2F13%2B2175\"   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%5B40%5D=22250%2F13 ALIGN=MIDDLE  ALT=\"S%5B40%5D=22250%2F13\"   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%5B40%5D=1711.5384615384617 ALIGN=MIDDLE  ALT=\"S%5B40%5D=1711.5384615384617\"   DISABLED_style= \"max-width:90%; height:auto;\" >....round to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+ ALIGN=MIDDLE  ALT=\"2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >decimal places\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B40%5D=1711.54 ALIGN=MIDDLE  ALT=\"S%5B40%5D=1711.54\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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