document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26380>Question 26380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all n that belongs to the natural numbers satisfying the following inequality.<BR>\n" );
document.write( "(n^(2))<(n-1)!\r<BR>\n" );
document.write( "\n" );
document.write( "(!) means factorial </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14245 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=14245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If n=1, 1^2=1 (1-1)! is meaningless<BR>\n" );
document.write( "If n=2, 2^2=4 (2-1)!=1 ;2 does not meet the criteria<BR>\n" );
document.write( "If n=3, 3^3=9 (3-1)!=2 ;3 does not meet the criteria<BR>\n" );
document.write( "If n=5, 5^2=25 4!=24 does not meet criteria<BR>\n" );
document.write( "If n=6, 6^2=36 (6-1)!=120 meets the criteria<BR>\n" );
document.write( "Ifn=7, 7^2=49 6!=720 meets the criteria<BR>\n" );
document.write( "Looks like all n>5 meet the criteria\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );