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2024 Canadian Open Math Challenge
A4
A4
Part of
2024 Canadian Open Math Challenge
Problems
(1)
2024 COMC A4
Source:
11/4/2024
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:
0
0
0
2
4
2\; 4
2
4
6
8
‾
10
6\;\underline{8}\;10
6
8
10
12
14
16
18
12\: 14\: 16\: 18
12
14
16
18
20
22
24
26
28
20\: 22 \: 24 \: 26\: 28
20
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?
Comc