This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

AND:
OR:
NO:

Found problems: 1

1969 Putnam, B3
Tags: sequence , pi
The terms of a sequence $(T_n)$ satisfy $T_n T_{n+1} =n$ for all positive integers $n$ and $$\lim_{n\to \infty} \frac{ T_{n} }{ T_{n+1}}=1.$$ Show that $ \pi T_{1}^{2}=2.$