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