Question 49
Sequence $(x_1, x_2, \dots)$ is defined as $x_1 = 20$, $x_2 = 12$,
$$
x_{n+2} = x_n + x_{n+1} + 2\sqrt{x_n x_{n+1} + 121},
$$
for $n \ge 1$.
1) Compute $x_{10}$.
2) Determine with justification if every term in the sequence is an integer?
$$
x_{n+2} = x_n + x_{n+1} + 2\sqrt{x_n x_{n+1} + 121},
$$
for $n \ge 1$.
1) Compute $x_{10}$.
2) Determine with justification if every term in the sequence is an integer?