Question 38
For any real numbers $t_1, t_2, \dots, t_n \le 2$, show that the inequality
$$
\frac{t_1^3}{t_2^2 + 4} + \frac{t_2^3}{t_3^2 + 4} + \dots + \frac{t_{n-1}^3}{t_n^2 + 4} + \frac{t_n^3}{t_1^2 + 4} \le n
$$
holds.
$$
\frac{t_1^3}{t_2^2 + 4} + \frac{t_2^3}{t_3^2 + 4} + \dots + \frac{t_{n-1}^3}{t_n^2 + 4} + \frac{t_n^3}{t_1^2 + 4} \le n
$$
holds.