Question 167
Prove that the sequence
$$
x_n = \sqrt[n]{9^{n-1}(n+9)}, \quad n = 2, 3, 4, \dots
$$
is strictly decreasing, and bounded below by $9$.
$$
x_n = \sqrt[n]{9^{n-1}(n+9)}, \quad n = 2, 3, 4, \dots
$$
is strictly decreasing, and bounded below by $9$.