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What is the sum of the first 100 odd numbers?

Published in Math Calculation 1 min read

The sum of the first 100 odd numbers is 10,000.

According to the reference provided, the series of the first 100 odd numbers is 1, 3, 5, 7, 9, ..., 199. The sum of this series is indeed 10,000. We can verify this using the formula for the sum of an arithmetic series, or simply recognizing that the sum of the first n odd numbers is n2.

Therefore:

  • 1 + 3 + 5 + ... + 199 = 1002 = 10,000

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