201 positive integers and averages
Source: Argentine National Olympiad 2014, Level 3, Problem 1
November 6, 2015
number theory
Problem Statement
positive integers are written on a line, such that both the first one and the last one are equal to . Each one of the remaining numbers is less than the average of its neighbouring numbers, and the differences between each one of the remaining numbers and the average of its neighbouring numbers are all equal to a unique integer. Find the second-to-last term on the line.