1977 Canadian MO Problems/Problem 6

Problem

Let $0<u<1$ and define $u_1=1+u\quad ,\quad u_2=\frac{1}{u_1}+u\quad \ldots\quad u_{n+1}=\frac{1}{u_n}+u\quad ,\quad n\ge 1$ Show that $u_n>1$ for all values of $n=1,2,3\ldots$ .

Page

Toolbox

Search

1977 Canadian MO Problems/Problem 6

Problem

Solution