document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115661>Question 1115661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use mathematical induction to prove that the statement is true for all positive integers. <BR>\n" );
document.write( "5+23+53+...6n^2 - 1=n^2 (2n+3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734046 by </B><A HREF=/tutors/aboutme.mpl?userid=t0hierry><B>t0hierry(194)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=t0hierry><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=t0hierry><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Sum S is equal to 6 Sum i^2 - n\r<BR>\n" );
document.write( "\n" );
document.write( "6 Sum i^2 -n<BR>\n" );
document.write( "= n(n+1)(2n+1) - n <BR>\n" );
document.write( "= n(2n^2 + 3n + 1) - n<BR>\n" );
document.write( "= n(2n^2 + 3n)<BR>\n" );
document.write( "= n^2(2n + 3) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );