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Sum of an arithmetic series:
Sum = (1st number + last number) x (the number of numbers) /2

Your first number is 2. Your last number is 2 x 100 = 200. The number of numbers in this series is 100 (says so in the question). So your sum equals:

(2 + 200) x 100 / 2 = 202 x 100 / 2 = 10100.

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