The average of all odd numbers less than 100 is 50.
Here's how we arrive at that answer:
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Identifying the odd numbers: We need to consider the odd numbers from 1 to 99.
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The Arithmetic Sequence: These numbers form an arithmetic sequence: 1, 3, 5, 7, ..., 99.
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Formula for the Average of an Arithmetic Sequence: The average of an arithmetic sequence is simply the average of the first and last terms.
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Calculation: Therefore, the average is (1 + 99) / 2 = 100 / 2 = 50.
Therefore, the average of all odd numbers less than 100 is 50.
