document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188532>Question 1188532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/2,-4/5,27/8,-256/11 ......  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819655 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=819655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There is no way to find \"THE\" correct answer to any problem like this; ANY subsequent number(s) will form a valid sequence.<br><BR>\n" );
document.write( "All you can do is try to find a logical pattern in the sequence that produces the given sequence and then use that pattern to GUESS what the next number(s) are.<br><BR>\n" );
document.write( "In this example, one thing you have is the alternating signs; you need to incorporate that into your answer.<br><BR>\n" );
document.write( "Then, ignoring the alternating signs, look at the numerators and denominators of the terms of the sequence separately and look for patterns:<br><BR>\n" );
document.write( "numerators: 1, 4, 27, 256, ...<BR>\n" );
document.write( "denominators: 2, 5, 8, 11, ...<br><BR>\n" );
document.write( "A PROBABLE pattern for the denominators should be clear.<br><BR>\n" );
document.write( "For the numerators, a PROBABLE pattern is harder to see; perhaps a special feature about the number 27 will give you the clue you need.<br><BR>\n" );
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