document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40302>Question 40302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "Here's a tutor who is a bit rusty on this subject. Is there a simple expression for the following sum?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28i%5E2%2Ci=a%2Ca%2B%28n-1%29%29 ALIGN=MIDDLE  ALT=\"sum%28i%5E2%2Ci=a%2Ca%2B%28n-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For example,<BR>\n" );
document.write( "1 + 4 + 9 + 16 + ... + 100<BR>\n" );
document.write( "or<BR>\n" );
document.write( "25 + 36 + 49<BR>\n" );
document.write( "etc.\r<BR>\n" );
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document.write( "Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25675 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's a tutor who is a bit rusty on this subject. Is there a simple expression for the following sum?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28i%5E2%2Ci=a%2Ca%2B%28n-1%29%29 ALIGN=MIDDLE  ALT=\"sum%28i%5E2%2Ci=a%2Ca%2B%28n-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For example,<BR>\n" );
document.write( "1 + 4 + 9 + 16 + ... + 100....we find these are all squares of 1,2,3 etc..<BR>\n" );
document.write( "so we say <BR>\n" );
document.write( "TN=N^2...PUT N=1,2,3, ..ETC...TO GET SUCCESSIVE TERMS..1^2=1,2^2=4,3^2=9....ETC<BR>\n" );
document.write( "TO SHOW SUM WE SAY FIND SN FOR N=10..THAT IS FROM N=1 TO 10..THAT IS WHAT YOU PUT ABOVE<BR>\n" );
document.write( "OFCOURSE IT IS ALSO REPRESENTED BY WHAT YOU GAVE IN THE BEGINING NAMELY <BR>\n" );
document.write( "SIGMA(N^2)...N RANGING FROM 1 TO 10 OR WHATEVER..FOR THE EXAMPLE YOU GAVE <BR>\n" );
document.write( "1+4+9+16+.....+100...TO PUT A TO A+(N-1)IS NOT CORRECT.YOU SHOULD PUT ONLY N=1 TO N=10<BR>\n" );
document.write( "or<BR>\n" );
document.write( "25 + 36 + 49<BR>\n" );
document.write( "etc.\r<BR>\n" );
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document.write( "Thank you very much! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );