document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146603>Question 1146603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the first n integers 1+2+3+...+n=n(n+1)/2<BR>\n" );
document.write( "a.How many numbers must be taken to have a sum greater than one million?<BR>\n" );
document.write( "b.Why can the sum never equal 1000000? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767899 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "a) n(n+1)/2 > 1000000<BR>\n" );
document.write( "   n(n+1) > 2000000<br><BR>\n" );
document.write( "   Solve for n, n >= 1414<br>\r<BR>\n" );
document.write( "\n" );
document.write( "b) n(n+1)/2 = 1000000<BR>\n" );
document.write( "    n(n+1) = 2000000  has no integer solutions<br>\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );