document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74358>Question 74358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that n^2 + n = 2k, how can (n+1)^2 + (n+1) be written as a multiple of 2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53370 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=53370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that n^2 + n = 2k,<BR>\n" );
document.write( "n(n+1)=2k <BR>\n" );
document.write( "how can (n+1)^2 + (n+1) be written as a multiple of 2?\r<BR>\n" );
document.write( "\n" );
document.write( "--------------<BR>\n" );
document.write( "(n+1)^2 + (n+1)<BR>\n" );
document.write( "=(n+1)[n+1+1<BR>\n" );
document.write( "=n(n+1+1)+(n+1+1) <BR>\n" );
document.write( "=n(n+1) +n +n+2<BR>\n" );
document.write( "=n(n+1) +2(n+1)<BR>\n" );
document.write( "=2k +2(n+1)<BR>\n" );
document.write( "=2[k+n+1]<BR>\n" );
document.write( "which is a multiply of 2<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );