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easy problem

Source: 2007 Flanders Math Olympiad, Problem 1

April 26, 2015
belgiumnational olympiad

Problem Statement

1. The numbers 1,2,1,2, \ldots are placed in a triangle as following:
12345678910 \begin{matrix} 1 & & & \\ 2 & 3 & & \\ 4 & 5 & 6 & \\ 7 & 8 & 9 & 10 \\ \ldots \end{matrix}
What is the sum of the numbers on the nn-th row?