MathDB
Romanian District Olympiad 2015, Grade V, Problem 3

Source:

September 25, 2018
SequenceSetsromania

Problem Statement

Consider the following sequence of sets: {1,2},{3,4,5},{6,7,8,9},... \{ 1,2\} ,\{ 3,4,5\}, \{ 6,7,8,9\} ,...
a) Find the samllest element of the 100-th 100\text{-th} term. b) Is 2015 2015 the largest element of one of these sets?
Back to ProblemsView on AoPS