Question 35
$$
a_1 = 24, \quad a_2 = 2025, \quad \text{and} \quad a_{n+2} = 3 \cdot a_{n+1} \cdot a_n^4 \quad \text{for all } n \ge 1.
$$
Determine all $n \ge 1$ for which there exists an integer $x$ such that $a_n = x^3$.
a_1 = 24, \quad a_2 = 2025, \quad \text{and} \quad a_{n+2} = 3 \cdot a_{n+1} \cdot a_n^4 \quad \text{for all } n \ge 1.
$$
Determine all $n \ge 1$ for which there exists an integer $x$ such that $a_n = x^3$.