document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885816>Question 885816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use Gauss approach to find the following signs (do not use formulas0.\r<BR>\n" );
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document.write( "a. 1+2+3+4+...+98<BR>\n" );
document.write( "b. 1+3+5+7+...+1003\r<BR>\n" );
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document.write( "The sum of the sequence is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535495 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=535495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)     1  +2  +3  +4 +......+98<BR>\n" );
document.write( "      98  +97 +96 +95+......+1<BR>\n" );
document.write( "sum   99  +99 +99 +99+......+99<BR>\n" );
document.write( "there are 98 of these sums, the total is 98 * 99 = 9702, since this sum is twice the sum of the numbers 1 thru 98, we have<BR>\n" );
document.write( "sum 1 +2 +3 +4 +.....98 = 9702/2 = 4851<BR>\n" );
document.write( "b)      1      +3    +5   +7+.....+1003<BR>\n" );
document.write( "     1003   +1001 + 999 +997    +....+1<BR>\n" );
document.write( "sum  1004   +1004 +1004 +1004   +..1004<BR>\n" );
document.write( "There are 502 of these sums. the total is 502 * 1004 = 504008, since this sum is twice the sum of the numbers 1 +3 +5 +7 +....1003, we have<BR>\n" );
document.write( "sum 1  +3  +5  +7+.....+1003 = 504008/2 = 252004<BR>\n" );
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