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164,850 Calculated as follows: The lowest number is 101 and the highest number is 998. If you use the theory behind factorials, and pair the numbers, the lowest with the highest (101+998=1,099) then the next lowest and next highest (104+995=1,099), etc. they all add to 1,099. The sequence goes by threes: 101, 104, 107, etc

There are 300 total numbers in the sequence (the first is 101, and 299 more (299x3=897)...897+101=998).

The actual formula is {(998-101)/3} + 1 = 300 (the 1 is for the first number) So that makes 150 pairs of numbers that = 1,099.

150 x 1,099 = 164,850

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Q: What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
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