document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186602>Question 1186602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 51, 53, 56, 60 what comes next? 51, 53, 56, 60, __, __ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817537 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52794)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "I can construct a polynomial of high degree, which will has given values in given points, \r<BR>\n" );
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document.write( "and totally different value in the next point.\r<BR>\n" );
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document.write( "An arbitrary person from the street can construct a polynomial even more hire degree\r<BR>\n" );
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document.write( "and obtain different &nbsp;\"next\" &nbsp;number.\r<BR>\n" );
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document.write( "As the question is posed in the post,  &nbsp;IT &nbsp;MAKES &nbsp;the problem non-Mathematical.\r<BR>\n" );
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document.write( "With such questions, you should go to fortune-tellers.\r<BR>\n" );
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document.write( "Actually, &nbsp;such questions is the way for them to make money.\r<BR>\n" );
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document.write( "More reasonable/educated people do not play such games . . . And do not ask such questions . . . \r<BR>\n" );
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document.write( "\"What is the pattern ?\" &nbsp;&nbsp;would be correct, &nbsp;reasonable question in this context.\r<BR>\n" );
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document.write( "Even better is to ask &nbsp;\"what pattern do you see ?\", &nbsp;because another person can see different pattern.\r<BR>\n" );
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document.write( "\"What is the next number\", &nbsp;or &nbsp;&nbsp;\"what comes next\" &nbsp;&nbsp;is not correct or reasonable question in this context.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;ANY &nbsp;NUMBER &nbsp;CAN &nbsp;BE &nbsp;NEXT, &nbsp;if restrictions are not imposed.\r<BR>\n" );
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document.write( "Also, &nbsp;to ask &nbsp;\"predict next number, &nbsp;using a polynomial of lowest degree\" &nbsp;is a correct question\r<BR>\n" );
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document.write( "in this context, &nbsp;because it determines a procedure by an unique way.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;. . . Actually, &nbsp;at the level of common sense, &nbsp;all these things are &nbsp;SELF - EVIDENT . . . \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;. . . They do not require special knowledge . . . \r<BR>\n" );
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