8 Dec 2020 Question of the Day /Posted Bystephen/Comments0 If $a_n$ is a bounded monotonically increasing sequence prove then that $b_n = \frac{a_1 + \cdots + a_n}{n}$ is also bounded and monotonically increasing. https://mathsgrinds.ie/wp-content/uploads/2020/12/2020-12-03_19-23-20.mp4