document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011566>Question 1011566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the first n terms of an arithmetic sequence is (2n^2)-n. Find the general term and show that the sequence is an arithmetic sequence </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627266 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=627266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the sum of the first <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms of an arithmetic sequence use the formula,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=+n%28a%5B1%5D%2Ba%5Bn%5D%29%2F2 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=+n%28a%5B1%5D%2Ba%5Bn%5D%29%2F2\"   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%5Bn%5D=%282n%5E2%29-n ALIGN=MIDDLE  ALT=\"S%5Bn%5D=%282n%5E2%29-n\"   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=%282n%5E2%29-n=+n%28a%5B1%5D%2Ba%5Bn%5D%29%2F2 ALIGN=MIDDLE  ALT=\"%282n%5E2%29-n=+n%28a%5B1%5D%2Ba%5Bn%5D%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....solve for the general term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D ALIGN=MIDDLE  ALT=\"a%5Bn%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=2%282n%5E2-n%29%2Fn=+a%5B1%5D%2Ba%5Bn%5D ALIGN=MIDDLE  ALT=\"2%282n%5E2-n%29%2Fn=+a%5B1%5D%2Ba%5Bn%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=2n%282n-1%29%2Fn=+a%5B1%5D%2Ba%5Bn%5D ALIGN=MIDDLE  ALT=\"2n%282n-1%29%2Fn=+a%5B1%5D%2Ba%5Bn%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=2%282n-1%29=+a%5B1%5D%2Ba%5Bn%5D ALIGN=MIDDLE  ALT=\"2%282n-1%29=+a%5B1%5D%2Ba%5Bn%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=a%5Bn%5D=2%282n-1%29-+a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5Bn%5D=2%282n-1%29-+a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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