Question 168
Consider an infinite sequence $a_1, a_2, a_3, \dots$ of positive integers. Suppose that the following 2 conditions are satisfied for an arbitrary positive integer $n$:
* $a_n$ is a multiple of $n$.
* $|a_n - a_{n+1}| \le 5$.
Find the maximum possible value that $a_1$ can take.
* $a_n$ is a multiple of $n$.
* $|a_n - a_{n+1}| \le 5$.
Find the maximum possible value that $a_1$ can take.