document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62928>Question 62928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am doing work on the fabonacci sequence and one particular formula states <BR>\n" );
document.write( " http://upload.wikimedia.org/math/1/a/d/1ad54a3830f7ca7ad0c9295f115e5cd8.png<BR>\n" );
document.write( " However, when entering in n, i just get back the number n I started with, not the n as in the actual number in the sequence.  Help please </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43760 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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=43760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let me give you an example of the use of the formula and see if that helps.\r<BR>\n" );
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document.write( "The first 10 terms of the Fibonacci sequence are 1,1,2,3,5,8,13,21,34, and 55.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5B10%5D=55 ALIGN=MIDDLE  ALT=\"F%5B10%5D=55\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Let's see if we can get that with the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5Bn%5D+=+%28p%5En-%281-p%29%5En%29%2Fsqrt%285%29 ALIGN=MIDDLE  ALT=\"F%5Bn%5D+=+%28p%5En-%281-p%29%5En%29%2Fsqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where p is phi, the Golden Ratio, which = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bsqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"%281%2Bsqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.618034 ALIGN=MIDDLE  ALT=\"1.618034\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=10 ALIGN=MIDDLE  ALT=\"n=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Also, it's useful to compute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.236068 ALIGN=MIDDLE  ALT=\"2.236068\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "I got both the values above using a calculator.\r<BR>\n" );
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document.write( "Now, when n=10, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5B10%5D+=+%281.618034%5E10-%281-1.618034%29%5E10%29%2F2.236068 ALIGN=MIDDLE  ALT=\"F%5B10%5D+=+%281.618034%5E10-%281-1.618034%29%5E10%29%2F2.236068\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.618034%5E10+=+122.991878 ALIGN=MIDDLE  ALT=\"1.618034%5E10+=+122.991878\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-1.618034%29%5E10+=+.008136 ALIGN=MIDDLE  ALT=\"%281-1.618034%29%5E10+=+.008136\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.618034%5E10-%281-1.618034%29%5E10%29+=+122.983742 ALIGN=MIDDLE  ALT=\"%281.618034%5E10-%281-1.618034%29%5E10%29+=+122.983742\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Finally, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.618034%5E10-%281-1.618034%29%5E10%29%2F2.236068+=+55.00000 ALIGN=MIDDLE  ALT=\"%281.618034%5E10-%281-1.618034%29%5E10%29%2F2.236068+=+55.00000\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So, we also get 55 by the formula.\r<BR>\n" );
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document.write( "Let me know if you still need help. </SPAN>\n" );
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