Question 22
Define a sequence recursively by $x_0=5$ and
$$
x_{n+1}=\dfrac{x_n^2+5x_n+4}{x_n+6}
$$
for all nonnegative integers $n.$ Let $m$ be the least positive integer such that
$$
x_m\le4+\dfrac{1}{2^{20}}.
$$
In which of the following intervals does $m$ lie?
$$
x_{n+1}=\dfrac{x_n^2+5x_n+4}{x_n+6}
$$
for all nonnegative integers $n.$ Let $m$ be the least positive integer such that
$$
x_m\le4+\dfrac{1}{2^{20}}.
$$
In which of the following intervals does $m$ lie?