document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155130>Question 155130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to know what number comes next in this sequence and why.<BR>\n" );
document.write( "9,73,241,561,1081,1849,_?__ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114214 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=114214\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to know what number comes next in this sequence and why.<BR>\n" );
document.write( "9,73,241,561,1081,1849,_?__<BR>\n" );
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document.write( "I matched 1,2,3,...,6 up with the numbers.<BR>\n" );
document.write( "I tried a linear regression, a quadratic regression,<BR>\n" );
document.write( "and a cubic regression on it.  Best results were <BR>\n" );
document.write( "with the cubic:<BR>\n" );
document.write( "y = 8x^3 + 4x^2 -4x  = 1<BR>\n" );
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document.write( "The next term would be f(7) = 2913<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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