document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=11513>Question 11513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find another way to solve this problem.  I would like to be able to use an equation for it. \r<BR>\n" );
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document.write( "Find the sum of these consecutive odd numbers: \r<BR>\n" );
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document.write( "1 + 3 + 5 + 7 + ... (all odd numbers from 7-193) 193 + 195 + 197 + 199. \r<BR>\n" );
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document.write( "I already know that the answer is 10,000 because I sat here and added up all of the numbers myself, but I need an equation to turn in, and I haven't been able to find one yet.  If you could help I would really appreciate it. Thanks- Lisa  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5953 by </B><A HREF=/tutors/aboutme.mpl?userid=askmemath><B>askmemath(368)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=askmemath><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=5953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am not sure how much you know about progressions. Consecutive odd numbers come under an Arithmetic progression (a.k.a AP).The difference between consecutive terms is same<BR>\n" );
document.write( "for e.g 3-1 = 2<BR>\n" );
document.write( " 5-3 = 2 and so on...\r<BR>\n" );
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document.write( "Sum of the first n odd numbers is n^2<BR>\n" );
document.write( "Sum of first 2 odd numbers = 1+3 = 4<BR>\n" );
document.write( "n^2 = 2^2 = 4<BR>\n" );
document.write( "So sum of first 100 numbers is 100^2= 10,000 </SPAN>\n" );
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