Prove that there are only two sets of consecutive positive integers that satisfy that the sum of its elements is equal to $100$.
Problem
Source: OLCOMA Costa Rica National Olympiad, Final Round, 2018 Shortlist N1
Tags: consecutive, number theory
Source: OLCOMA Costa Rica National Olympiad, Final Round, 2018 Shortlist N1
Tags: consecutive, number theory
Prove that there are only two sets of consecutive positive integers that satisfy that the sum of its elements is equal to $100$.