document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=585639>Question 585639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you find the recursive formula of the sequence 1,1,2,3,5,8...? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373445 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=373445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is the fibonacci sequence. The first two terms are given as 1,1\r<BR>\n" );
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document.write( "The third term is then the sum of the previous two terms: 1+1 = 2\r<BR>\n" );
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document.write( "The fourth term is then the sum of the previous two terms: 1+2 = 3\r<BR>\n" );
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document.write( "The fifth term is then the sum of the previous two terms: 2+3 = 5\r<BR>\n" );
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document.write( "The sixth term is then the sum of the previous two terms: 3+5 = 8\r<BR>\n" );
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document.write( "and so on...\r<BR>\n" );
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document.write( "So the recursive formula is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\large f(n) = \begin{cases} 1 & \text{if } n = 0 \\ 1 & \text{if } n = 1 \\ f(n-1) + f(n-2) & \text{if } n \ge 2 \\ \end{cases}\" title=\"\large f(n) = \begin{cases} 1 & \text{if } n = 0 \\ 1 & \text{if } n = 1 \\ f(n-1) + f(n-2) & \text{if } n \ge 2 \\ \end{cases}\" />\r<BR>\n" );
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