document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133988>Question 1133988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of the series 1/2+(1/3+2/3)+(1/4+2/4+3/4)+...+(1/100+2/100+3/100...+99/100). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751300 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The sum<br><BR>\n" );
document.write( "1/2+(1/3+2/3)+(1/4+2/4+3/4)+...+(1/100+2/100+3/100...+99/100)<br><BR>\n" );
document.write( "is equal to<br><BR>\n" );
document.write( "1/2+2/2+3/2+...+99/2<br><BR>\n" );
document.write( "This is an arithmetic series with 99 terms; the sum is 99 times the average of the first and last:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99%28%281%2F2%2B99%2F2%29%2F2%29+=+99%2A25+=+2475 ALIGN=MIDDLE  ALT=\"99%28%281%2F2%2B99%2F2%29%2F2%29+=+99%2A25+=+2475\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );