Two Groups
Problem of the Week - May 08, 2023
Suppose the positive even integers are grouped in the following way: {2}, {4,6}, {8,10,12}, {14,16,18,20}, … The sum of the first group is 2. The sum of the second group is 10. What is the sum of the numbers of the 100th group and the 101st group? In other words, find the sum of the 100th group + the sum of the 101st group.
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