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Indonesia National Science Olympiad 2010 - Day 1 Problem 1

Source:

September 28, 2010
algebra unsolvedalgebra

Problem Statement

Let a,b,ca,b,c be three different positive integers. Show that the sequence a+b+c,ab+bc+ca,3abca+b+c,ab+bc+ca,3abc could be neither an arithmetic nor geometric progression.
Fajar Yuliawan, Bandung
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