Question 24
Define a sequence recursively by $x_0=5$ and $$
x_{n+1}=\frac{x_n^2+5x_n+4}{x_n+6}
$$ for all nonnegative integers $n.$ Let $m$ be the least positive integer such that $$
x_m\leq 4+\frac{1}{2^{20}}.
$$ In which of the following intervals does $m$ lie?
x_{n+1}=\frac{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\leq 4+\frac{1}{2^{20}}.
$$ In which of the following intervals does $m$ lie?