document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161213>Question 161213</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve this problem please...what is the next sequence-- 1,2,6,42,1806,... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118744 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=118744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When the answers are not 'obvious' I try a few things to whiitle down what I think will or 'work.\r<BR>\n" );
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document.write( "This one does not look arithmetic. The numbers climb too fast. So it 'feels' like we need to be multiplying by something or doing something exponential.\r<BR>\n" );
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document.write( "Start with the last two numbers <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1806%2F42 ALIGN=MIDDLE  ALT=\"1806%2F42\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=43 ALIGN=MIDDLE  ALT=\"43\"   DISABLED_style= \"max-width:90%; height:auto;\" > hmmm, 43 is just one more than 42. <BR>\n" );
document.write( "Let's do <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F6 ALIGN=MIDDLE  ALT=\"42%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > hey! again we get a number one greater than the lower number in the pair. \r<BR>\n" );
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document.write( "Does that work for the entire sequence? In this case, yes\r<BR>\n" );
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document.write( "Each successive number is the previous number times (the previous number+1)\r<BR>\n" );
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document.write( "I wish I could tell you there is magic formula here. But I haven;t found one. It is more a matter of doing a few and getting a feel for what to try if something just doesn;t jump rite out at you </SPAN>\n" );
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