document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=768612>Question 768612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many terms of the A.P 26,21,16,11..........are needed to give the sum 11? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468420 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=468420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "26,21,16,11..........are needed to give the sum 11<BR>\n" );
document.write( "26-21=5<BR>\n" );
document.write( "21-16=5<BR>\n" );
document.write( "16-11=5<BR>\n" );
document.write( "so, d=-5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Sn+=+n%2F2%282a+%2B+%28+n-1+%29d+%29 ALIGN=MIDDLE  ALT=\"Sn+=+n%2F2%282a+%2B+%28+n-1+%29d+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , where ‘n’ is the number of terms, ‘a’ is first term, ‘d’ is the common difference \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=26 ALIGN=MIDDLE  ALT=\"a=26\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Sn=11 ALIGN=MIDDLE  ALT=\"+Sn=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d=-5 ALIGN=MIDDLE  ALT=\"+d=-5\"   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=11+=+n%2F2%282%2A26+%2B+%28+n+-1+%29%28-5%29+%29 ALIGN=MIDDLE  ALT=\"11+=+n%2F2%282%2A26+%2B+%28+n+-1+%29%28-5%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   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=11+=+n%2F2%2852+-+5n+%2B5++%29 ALIGN=MIDDLE  ALT=\"11+=+n%2F2%2852+-+5n+%2B5++%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=11%2A2+=+n%2857+-5n++%29 ALIGN=MIDDLE  ALT=\"11%2A2+=+n%2857+-5n++%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=22+=+57n+-5n%5E2++ ALIGN=MIDDLE  ALT=\"22+=+57n+-5n%5E2++\"   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=+5n%5E2-57n+%2B22=0 ALIGN=MIDDLE  ALT=\"+5n%5E2-57n+%2B22=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > using quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%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=n+=+%28-%28-57%29+%2B-+sqrt%28+%28-57%29%5E2-4%2A5%2A22+%29%29%2F%282%2A5%29+ ALIGN=MIDDLE  ALT=\"n+=+%28-%28-57%29+%2B-+sqrt%28+%28-57%29%5E2-4%2A5%2A22+%29%29%2F%282%2A5%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=n+=+%2857+%2B-+sqrt%28+3249-440+%29%29%2F10+ ALIGN=MIDDLE  ALT=\"n+=+%2857+%2B-+sqrt%28+3249-440+%29%29%2F10+\"   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+=+%2857+%2B-+sqrt%28+2809+%29%29%2F10+ ALIGN=MIDDLE  ALT=\"n+=+%2857+%2B-+sqrt%28+2809+%29%29%2F10+\"   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+=+%2857+%2B-+53%29%2F10+ ALIGN=MIDDLE  ALT=\"n+=+%2857+%2B-+53%29%2F10+\"   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+=+11 ALIGN=MIDDLE  ALT=\"+n+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+2%2F5 ALIGN=MIDDLE  ALT=\"n+=+2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, we need only whole number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+11 ALIGN=MIDDLE  ALT=\"+n+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "26,21,16,11,6,1,-4,-9,-14,-19,-24\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2B21%2B16%2B11%2B6%2B1%2B%28-4%29%2B%28-9%29%2B%28-14%29%2B%28-19%29%2B%28-24%29=11 ALIGN=MIDDLE  ALT=\"26%2B21%2B16%2B11%2B6%2B1%2B%28-4%29%2B%28-9%29%2B%28-14%29%2B%28-19%29%2B%28-24%29=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );