A Sequence of Increasing Averages

Algebra Level 2

We have a sequence of 100 positive integers.
The average of the first and second numbers is 1.
The average of the second and third numbers is 2.
The average of the third and fourth numbers is 3.
This pattern continues, and the average of the 99th and 100th number is 99.
What is the 100th number?


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