7 cards, tears a few in 7 pieces, teare a few again in 7, ..., 2009 pieces ever?
Source: Greece JBMO TST 2009 p1
April 29, 2019
number theorySumalgebra
Problem Statement
One pupil has cards of paper. He takes a few of them and tears each in pieces. Then, he choses a few of the pieces of paper that he has and tears it again in pieces. He continues the same procedure many times with the pieces he has every time. Will he be able to have sometime pieces of paper?