document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=575139>Question 575139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which is the next number in this logical sequence .. \r<BR>\n" );
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document.write( "1,1,2,3,5,8,13, ... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369392 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=369392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is the Fibonacci sequence. The first two terms in the sequence are, by definition, 0 and 1. After that, each added term is the sum of the two terms that immediately precede it. An extension of this sequence is:<BR>\n" );
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document.write( "0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, ...<BR>\n" );
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document.write( "So the answer to this problem is 21 because it is the sum of the 8 and the 13 that are the two terms that come immediately before it.<BR>\n" );
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document.write( "For an explanation of this sequence, you can go to http://en.wikipedia.org/wiki/Fibonacci_number.<BR>\n" );
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document.write( "Hopefully this helps you to understand the Fibonacci number pattern and how we determined the answer to this problem. <BR>\n" );
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