Question 102
Let $\{x_k\}_{k=1}^{n}$ be a sequence whose terms come from $\{2,3,6\}$. If
$$
x_1 + x_2 + \cdots + x_n = 633 \quad \text{and} \quad \frac{1}{x_1^2} + \frac{1}{x_2^2} + \cdots + \frac{1}{x_n^2} = \frac{2017}{36}
$$
find the value of $n$.
$$
x_1 + x_2 + \cdots + x_n = 633 \quad \text{and} \quad \frac{1}{x_1^2} + \frac{1}{x_2^2} + \cdots + \frac{1}{x_n^2} = \frac{2017}{36}
$$
find the value of $n$.