What is the sum of each of the following odd integers from 1 to 100?

The sum of all odd integers from 1 to 100 is 2500.

To arrive at this answer, we can use a mathematical approach. The odd integers from 1 to 100 form an arithmetic sequence: 1, 3, 5, ..., 99.

Here's how to calculate the sum:

1. Identify the first and last terms: The first term (a₁) is 1, and the last term (aₙ) is 99.

2. Determine the number of terms: Since every other number is odd, there are 50 odd numbers between 1 and 100 (inclusive). So, n = 50.

3. Use the arithmetic series sum formula: The sum (Sₙ) of an arithmetic series is given by:

   Sₙ = (n/2) * (a₁ + aₙ)

4. Plug in the values:

   S₅₀ = (50/2) (1 + 99)
   S₅₀ = 25 100
   S₅₀ = 2500

Therefore, the sum of all odd integers from 1 to 100 is 2500.