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October 2021 - Math Problem

Can you find 4 consecutive numbers that add to 30?  How about 50 or 90?

Solution:

30=6+7+8+9

50=11+12+13+14

90=21+22+23+24

Can 100 be written as the sum of 4 consecutive numbers?  Is there a quick way to determine if a number can be written as the sum of 4 consecutive numbers?

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