Question 39
Let $k$ be a positive integer. Find all sequences $(a_n)_{n \ge 1}$ of positive integers such that
$$
a_{n+2}(a_{n+1} - k) = a_n(a_{n+1} + k)
$$
for all $n \ge 1$.
$$
a_{n+2}(a_{n+1} - k) = a_n(a_{n+1} + k)
$$
for all $n \ge 1$.
MathNet 2024-part-01 — 168 problems (EN–VI) Question 39
Math Olympiad Vault · MathNet 2024-part-01 — 168 problems (EN–VI)