Alex wants to create an algorithm to calculate the sum of the first 100 positive integers.

He tells the algorithm to

1. Create the variable `sum`

with an initial value of 0.

2. Start with the value of \( i = 1 \)

3. Add \(i\) to the sum

4. Add 1 to \(i\)

5. Continue doing so till \( i = 100 \)

Does this algorithm work?

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