document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=25279>Question 25279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate:\r<BR>\n" );
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document.write( "1*1!+ 2*2!+3*3!+.....+n*n! where n is in N\r<BR>\n" );
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document.write( "I started with if <BR>\n" );
document.write( "n=1 then 1*1=1<BR>\n" );
document.write( "n=2 then 1*1 +2*2*1=5<BR>\n" );
document.write( "n=3 then 1*1 +2*2*1+3*3*2*1=23<BR>\n" );
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document.write( "n=n then 1*1 +2*2*1+3*3*2*1+.....+n*n(n-1)(n-2)....3*2*1\r<BR>\n" );
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document.write( "the answer is (n+1)!-1 i can drive to this answer would you please help me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13541 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=13541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> CONSIDER THE FOLLOWING EQUALITY<BR>\n" );
document.write( "(N+1)!-N!=(N+1)*N!-N!=N!*(N+1-1)=N*N!...THAT IS <BR>\n" );
document.write( "(N+1)!-N!=N*N!....PUT IN THIS EQUALITY N=1,2,3,....ETC...TILL N AND ADD THEM UP<BR>\n" );
document.write( "N=1....WE GET 2!-1!=1*1!<BR>\n" );
document.write( "N=2...........3!-2!=2*2!<BR>\n" );
document.write( "N=3...........4!-3!=3*3!<BR>\n" );
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document.write( "N=N.......(N+1)!-N!=N*N!<BR>\n" );
document.write( "-----------------------------ADDING ALLTHE ABOVE,WE GET <BR>\n" );
document.write( "..........(N+1)!-1!=1*1!+2*2!+3*3!+...........N*N!............PROVED </SPAN>\n" );
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