Question 51
Let $a_{1}, a_{2}, a_{3}, \ldots$ be a sequence of real numbers which satisfy the relation
$$
a_{n+1}=\sqrt{a_{n}^{2}+1}
$$
Suppose that there exists a positive integer $n_{0}$ such that $a_{2 n_{0}}=3 a_{n_{0}}$. Find the value of $a_{46}$.
$$
a_{n+1}=\sqrt{a_{n}^{2}+1}
$$
Suppose that there exists a positive integer $n_{0}$ such that $a_{2 n_{0}}=3 a_{n_{0}}$. Find the value of $a_{46}$.