document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=229684>Question 229684</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help!!! I can figure out a) but not b). Can you please explain this to me? Thanks soooo much!\r<BR>\n" );
document.write( "\n" );
document.write( "Use 3 and 4 as the first two terms of a Fibonacci-type sequence.<BR>\n" );
document.write( "a)Find the next five terms<BR>\n" );
document.write( "3,4 (are given)7,11,18,29,47 is what I came up with for the remaining 5 terms.<BR>\n" );
document.write( "b) Write a symbolic description for this Fibonacci-type sequence using variables t n-1 and t n+2 as terms of the sequence. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170229 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=170229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As you have correctly stated, starting with 3 and 4 as the first two terms of a Fibonacci sequence.<BR>\n" );
document.write( "You no doubt have also noted that each term in the sequence is derived from the sum of the two previous terms and this can be expressed symbolically as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bn%5D+=+%28t%5Bn-1%5D%29 ALIGN=MIDDLE  ALT=\"t%5Bn%5D+=+%28t%5Bn-1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%5Bn-2%5D%29 ALIGN=MIDDLE  ALT=\"%28t%5Bn-2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------------------Oops!<BR>\n" );
document.write( "The given sequence is not a true Fibonacci sequence, so it really is not described as I have shown! Sorry about that!<BR>\n" );
document.write( "The given sequence is:<BR>\n" );
document.write( "3, 4, 7, 11, 18, 29, 47, 76, ... as you have stated.<BR>\n" );
document.write( "This sequence can be described symbolically by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bn%5D+=+%28%28t%5Bn%2B2%5D%29-%28t%5Bn-1%5D%29%29%2F2 ALIGN=MIDDLE  ALT=\"t%5Bn%5D+=+%28%28t%5Bn%2B2%5D%29-%28t%5Bn-1%5D%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29+=+%2876-18%29%2F2 ALIGN=MIDDLE  ALT=\"29+=+%2876-18%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29+=+58%2F2 ALIGN=MIDDLE  ALT=\"29+=+58%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29+=+29 ALIGN=MIDDLE  ALT=\"29+=+29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );