triangle of numbers, under any two consecutive numbers their sum is written
Source: Mexican Mathematical Olympiad 2000 OMM P2
July 28, 2018
number theoryPascal's Triangle
Problem Statement
A triangle of numbers is constructed as follows. The first row consists of the numbers from to in increasing order, and under any two consecutive numbers their sum is written. (See the example corresponding to instead of below.) What is the number in the lowermost row?1 2 3 4 5
3 5 7 9
8 12 16
20 28
4