document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350075>Question 350075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: Use the Gauss technique to determine the sum for the following: <BR>\n" );
document.write( "(a) 1+2+3+...+250<BR>\n" );
document.write( "(b) 5+10+15+...+305 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250195 by </B><A HREF=/tutors/aboutme.mpl?userid=Jk22><B>Jk22(389)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Jk22><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=Jk22><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=250195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a)S1= 1 +2 +3+...+ 250  |sum with the series reversed, 250 terms equals to<BR>\n" );
document.write( "_____+250+249+248+..+1    | 251<BR>\n" );
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document.write( "=250*251=62750=2*S1 => S1=31375<BR>\n" );
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document.write( "(b) 5+10+15+...+305=5*(1+2+3+...61)=5*S2,<BR>\n" );
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document.write( "S2=__1+2+3+...61<BR>\n" );
document.write( "+S2=61+60+.....1<BR>\n" );
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document.write( "=62*61=2*S2<BR>\n" );
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document.write( "=>S2=31*61=1830+61=1891 => 5*S2=5000+4000+450+5=9455(=310*313/2) </SPAN>\n" );
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