Question 6
Find the number of ordered pairs of integers $(a, b)$ such that the sequence $$
3, 4, 5, a, b, 30, 40, 50
$$ is strictly increasing and no set of four (not necessarily consecutive) terms forms an arithmetic progression.
3, 4, 5, a, b, 30, 40, 50
$$ is strictly increasing and no set of four (not necessarily consecutive) terms forms an arithmetic progression.