Day 1 (July 8th, 2014) Problem 1 Let \( a_0< a_1< a_2< \cdots \) be an infinite sequence of positive integers. Prove that t...

Day 1 (July 8th, 2014) Problem 1 Let \( a_0< a_1< a_2< \cdots \) be an infinite sequence of positive integers. Prove that t...