document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166230>Question 1166230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you form a sequence using the given set of data below?<BR>\n" );
document.write( "a) 41,40,90,101,93,98,112,116,108,82,75,107,145,86,123<BR>\n" );
document.write( "b) 66,80,204,20,126,329,59,67,9,339,66,113,14,563,116,105,38<BR>\n" );
document.write( "If yes, form the sequence/s. Explain why you think a sequence can or cannot be formed using each given set of data.\r<BR>\n" );
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document.write( "Thank you so much for your help in advance!!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790723 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "You can create a formula that will provide any number of additional elements to any sequence of numbers.  Any sequence of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\"> real numbers uniquely defines a polynomial function of degree <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\,-\,1\"> after creating a one-to-one correspondence with the elements of the sequence and the first <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\"> either positive or non-negative integers.\r<BR>\n" );
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document.write( "I'm not saying or implying that it is always an easy task.  In the first case you would need to solve a 15 by 15 system of linear equations to get the coefficients of a 14th degree polynomial function.  The other one is worse.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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