document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138334>Question 1138334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the next number in these sequences:\r<BR>\n" );
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document.write( "1) 4,7,7,3,10,10,5,2,7<BR>\n" );
document.write( "2) 7,20,8,11,12,21,7,3,10<BR>\n" );
document.write( "3) 16,25,14,18,21,23,10,9,12<BR>\n" );
document.write( "4) 21,28,23,21,23,24,13,13,30<BR>\n" );
document.write( "5) 32,32,31,32,30,27,17,18,35<BR>\n" );
document.write( "6) 36,34,39,37,33,36,37,21,38<BR>\n" );
document.write( "7) 15,36,25,20,6,16,25,33,24<BR>\n" );
document.write( "8) 4,8,6,5,7,3,5,1,6<BR>\n" );
document.write( "9) 21,32,8,21,33,24,10,2,30<BR>\n" );
document.write( "10) 7,28,23,11,10,27,7,21,7<BR>\n" );
document.write( "11) 16,20,39,3,23,10,5,18,35<BR>\n" );
document.write( "12) 32,34,14,37,30,21,13,13,12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756180 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=756180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "For each sequence, choose any number you want and make it the next number.  Any next number you choose will make a valid sequence; and any next number you choose will be as good an answer as any purported \"right\" answer.<br><BR>\n" );
document.write( "Without any information about what kinds of sequences these are, finding \"the\" answers is merely a guessing game; there is no mathematical reasoning involved.<br><BR>\n" );
document.write( "Whenever you see a problem like this, spend only a very short time (if any!) looking for a pattern in the given numbers ---realizing even then that any pattern you see might not be the \"right\" one. </SPAN>\n" );
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