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What is the average of all the odd numbers from 1 up to 100?

1. 49
2. 49.5
3. 50
4. 50.5

Correct answer: 50

Solution

The odd numbers up to 100 are 1, 3, 5,..., 99, which is an arithmetic progression. The average equals (first + last)/2 = (1 + 99)/2 = 50.

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