document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=294351>Question 294351</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the formula: s=n^2+n<BR>\n" );
document.write( "                 all over 2<BR>\n" );
document.write( "1. where S is the sum of the first n natural numbers. How<BR>\n" );
document.write( "many consecutive natural numbers beginning with 1 will give a sum of 120 ?\r<BR>\n" );
document.write( "\n" );
document.write( "2.where S is the sum of the first n natural numbers. How<BR>\n" );
document.write( "many consecutive natural numbers beginning with 1 will give a sum of 253? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212268 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=212268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Use the formula: s=n^2+n<BR>\n" );
document.write( "all over 2<BR>\n" );
document.write( "1. where S is the sum of the first n natural numbers. How<BR>\n" );
document.write( "many consecutive natural numbers beginning with 1 will give a sum of 120 ?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "120 = (n^2+n)/2<BR>\n" );
document.write( "n^2+n = 240<BR>\n" );
document.write( "n^2+n-240 = 0<BR>\n" );
document.write( "(n-15)(x+16) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "n = 15 (# of natural numbers, 1,2,...n whose sum is 120<BR>\n" );
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document.write( " <BR>\n" );
document.write( "2.where S is the sum of the first n natural numbers. How<BR>\n" );
document.write( "many consecutive natural numbers beginning with 1 will give a sum of 253?<BR>\n" );
document.write( "Use the same procedure as above.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );