document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=643988>Question 643988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the sum of the first 900 consecutive odd numbers?<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 #404751 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=404751\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1 ALIGN=MIDDLE  ALT=\"a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >......the first term<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+2 ALIGN=MIDDLE  ALT=\"d+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >......the common difference between the terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+900%0D%0A%7B%7B%7Bnth_+term+=+1%2B2%28n-1%29+=+2n-1 ALIGN=MIDDLE  ALT=\"n+=+900%0D%0A%7B%7B%7Bnth_+term+=+1%2B2%28n-1%29+=+2n-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "900th term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28n%29=+2%2A900-1=1800-1=1799 ALIGN=MIDDLE  ALT=\"a%28n%29=+2%2A900-1=1800-1=1799\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The formula for the sum of an arithmetic sequence is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%28n%29+=+%28n%2F2%29%28a%281%29+%2B+a%28n%29%29 ALIGN=MIDDLE  ALT=\"S%28n%29+=+%28n%2F2%29%28a%281%29+%2B+a%28n%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%28900%29+=+%28900%2F2%29%281%2B1799%29 ALIGN=MIDDLE  ALT=\"S%28900%29+=+%28900%2F2%29%281%2B1799%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%28900%29+=+450%281800%29 ALIGN=MIDDLE  ALT=\"S%28900%29+=+450%281800%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%28900%29+=+810000 ALIGN=MIDDLE  ALT=\"S%28900%29+=+810000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But, here is the shortest way to do it if you are given odd numbers:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=odd ALIGN=MIDDLE  ALT=\"odd\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms then sum  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=+%28N%29%5E2 ALIGN=MIDDLE  ALT=\"S=+%28N%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=900 ALIGN=MIDDLE  ALT=\"N=900\"   DISABLED_style= \"max-width:90%; height:auto;\" >....=>...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=+%28900%29%5E2=810000 ALIGN=MIDDLE  ALT=\"S=+%28900%29%5E2=810000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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