Find the sum of the even integers between 21 and 45.

Key Concepts

Even Integers

Even integers are whole numbers that are divisible by 2 without a remainder. They can be represented in the form of 2n, where n is an integer. In the context of the question, identifying the even integers between 21 and 45 is essential for calculating their sum.

Arithmetic Series

An arithmetic series is the sum of the terms of an arithmetic sequence, where each term after the first is obtained by adding a constant difference. The sum of an arithmetic series can be calculated using the formula S = n/2 * (a + l), where n is the number of terms, a is the first term, and l is the last term. This concept is useful for efficiently summing the identified even integers.

Range of Integers

The range of integers refers to the set of integers that fall between two specified values. In this case, the integers between 21 and 45 include both endpoints, but the task specifically focuses on the even integers within this range. Understanding how to identify and list these integers is crucial for solving the problem.