document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29414>Question 29414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> show that if n is an integer greater than 3, n2^n. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16261 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=16261\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> show that if n is an integer greater than 3, n2^n.<BR>\n" );
document.write( "WE HAVE FOR N=4<BR>\n" );
document.write( "4!=1*2*3*4=24 >2^4=16...IS OK...SO....<BR>\n" );
document.write( "FOR N>3 WE HAVE <BR>\n" );
document.write( "N!=(1*2*3*4)*(5*6*7..........N)<BR>\n" );
document.write( ">(2^4)*(2*2*2*...........2...(N-4) TIMES)=2^4*2^(N-4)=2^(4+N-4)=2^N...<BR>\n" );
document.write( "HENCE N2^N<BR>\n" );
document.write( " </SPAN>\n" );
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