The sequence
of integers is defined by
and
Prove that
is odd for all
%V0
The sequence $\{a_n\}$ of integers is defined by
$$a_1 = 2, a_2 = 7$$
and
$$- \frac {1}{2} < a_{n + 1} - \frac {a^2_n}{a_{n - 1}} \leq \frac {}{}, n \geq 2.$$
Prove that $a_n$ is odd for all $n > 1.$
Školjka