MathDB
2024 COMC A4

Source:

November 4, 2024
Comc

Problem Statement

Consider the sequence of consecutive even numbers starting from 0, arranged in a staggered format, where each row contains one more number than the previous row.
The beginning of this arrangement is shown below: 00 2  42\; 4 6  8  106\;\underline{8}\;10 1214161812\: 14\: 16\: 18 202224262820\: 22 \: 24 \: 26\: 28
The number in the middle of the third row is 8. What is the number in the middle of the 101-st row?