document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172425>Question 1172425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sequence Tn is defined by T1 = T2 = 1 and T(n+2) = T(n+1) + Tn\r<BR>\n" );
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document.write( "Tn = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5En+-+b%5En%29%2F+sqrt%28+5+%29 ALIGN=MIDDLE  ALT=\"%28a%5En+-+b%5En%29%2F+sqrt%28+5+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where a,b (a>b) are the roots of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+x+-1=0 ALIGN=MIDDLE  ALT=\"x%5E2+-+x+-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Assume the ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28n%2B1%29%2FTn ALIGN=MIDDLE  ALT=\"T%28n%2B1%29%2FTn\"   DISABLED_style= \"max-width:90%; height:auto;\" > approaches a limit as n approaches infinity. Show that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28n%2B1%29%2FTn ALIGN=MIDDLE  ALT=\"T%28n%2B1%29%2FTn\"   DISABLED_style= \"max-width:90%; height:auto;\" > approaches <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B+sqrt%28+5+%29%29%2F2 ALIGN=MIDDLE  ALT=\"%281%2B+sqrt%28+5+%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797448 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "See the link\r<BR>\n" );
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document.write( "https://www.nctm.org/tmf/library/drmath/view/52696.html\r<BR>\n" );
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document.write( "and find the solution there.\r<BR>\n" );
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