document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=913589>Question 913589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the least value of n for which the sum of the first n odd natural numbers exceeds 5000.\r<BR>\n" );
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document.write( "please give a very comprehensive answer easy to grasp.Thanks.<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 #554595 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=554595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n odd numbers\r<BR>\n" );
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document.write( "1,3,5,7,9\r<BR>\n" );
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document.write( "Sum >5000\r<BR>\n" );
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document.write( "We will first find n for Sum = 5000\r<BR>\n" );
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document.write( "Sn = n/2(2a+(n-1)d)\r<BR>\n" );
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document.write( "a=1,d=2,Sn =5000\r<BR>\n" );
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document.write( "5000= n/2(2*1+(n-1)*2)\r<BR>\n" );
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document.write( "10000=n+(n-1)*2\r<BR>\n" );
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document.write( "10000=n+2n-2\r<BR>\n" );
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document.write( "10002=3n\r<BR>\n" );
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document.write( "n=3334\r<BR>\n" );
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document.write( "so for n =3334 Sum = 5000\r<BR>\n" );
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document.write( "SO for n=3335  Sum >5000\r<BR>\n" );
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