What is the sum of the first odd 100 integers?

The sum of the first 100 odd integers is 10,000.

According to the provided reference, "Therefore, 10000 is the sum of first 100 odd numbers.27-Oct-2020" This confirms that the sum of the first 100 odd integers is indeed 10,000.

To illustrate, let's look at a few initial sums:

• The first odd integer is 1. Sum: 1
• The sum of the first two odd integers (1 + 3) is 4.
• The sum of the first three odd integers (1 + 3 + 5) is 9.
• The sum of the first four odd integers (1 + 3 + 5 + 7) is 16.

You might notice a pattern: The sum of the first n odd integers is n². So, for the first 100 odd integers, the sum would be 100² = 10,000.

This pattern is a helpful mathematical shortcut and allows us to quickly calculate the sum without adding each individual number together.