document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=889120>Question 889120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> n!(n+2)=n!+(n+1)!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #537923 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=537923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n!(n+2)=n!+(n+1)!<BR>\n" );
document.write( "If we rewrite n+2 to (n+1) + 1<BR>\n" );
document.write( "we get<BR>\n" );
document.write( "n!( (n+1) + 1 ) = n! + (n+1)!<BR>\n" );
document.write( "Since (n+1)n! = (n+1)! <BR>\n" );
document.write( "(n+1)! + n! = n! + (n+1)!<BR>\n" );
document.write( "So it appears that for any integer n the equality holds. </SPAN>\n" );
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