1. The problem statement, all variables and given/known data If I have a constant sequence a,a,a,a,a,a, Is that monotonic? because I have conflicting definitions some say that it has to increase or decrease, but some say it just has to not increase or not decrease. And also does every bounded sequence have monotonic sub sequence. 3. The attempt at a solution I think that every bounded sequence has a monotonic sub sequence. Because I would eventually have to have an infinite amount of points that were the same or an infinite amount that were increasing or decreasing.