document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=810283>Question 810283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use auss approach to find the following sums\r<BR>\n" );
document.write( "\n" );
document.write( "A. 1,+2,+3,+4,+...+98\r<BR>\n" );
document.write( "\n" );
document.write( "B. 1+3+5+7+...+97 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488050 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=488050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use Gauss approach to find the following sums <BR>\n" );
document.write( "A. 1,+2,+3,+4,+...+98<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "d = 1<BR>\n" );
document.write( "S(n) = (n/2)(a+L)<BR>\n" );
document.write( "S(98) = 49(99) = 4851\r<BR>\n" );
document.write( "\n" );
document.write( "------ <BR>\n" );
document.write( "B. 1+3+5+7+...+97<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "d = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Find \"n\":<BR>\n" );
document.write( "97 = 1 + (n-1)2<BR>\n" );
document.write( "96 = (n-1)2<BR>\n" );
document.write( "48 = n=1<BR>\n" );
document.write( "n = 50<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "S(50) = (50/2)(1+97) = 2450<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );