Difference between revisions of "1977 Canadian MO Problems/Problem 6"
(Created page with "== Problem == Let <math>0<u<1</math> and define <cmath>u_1=1+u\quad ,\quad u_2=\frac{1}{u_1}+u\quad \ldots\quad u_{n+1}=\frac{1}{u_n}+u\quad ,\quad n\ge 1</cmath> Show that ...") |
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Latest revision as of 14:13, 7 October 2014
Problem
Let 
and define
![\[u_1=1+u\quad ,\quad u_2=\frac{1}{u_1}+u\quad \ldots\quad u_{n+1}=\frac{1}{u_n}+u\quad ,\quad n\ge 1\]](http://latex.artofproblemsolving.com/6/0/a/60abc54bcbc1505553158b221308b91482b30cb9.png)
Show that 
for all values of 
.
