the Series

A series is the sum of the terms of a sequence, where each term is added together to form a total. For example, if you have the sequence 1, 2, 3, the series is 1 + 2 + 3 = 6. Series can be finite, with a limited number of terms, or infinite, continuing endlessly. Mathematicians study how these sums behave, especially for infinite series, to understand their convergence (approaching a specific value) or divergence (growing without bound). Series are fundamental in fields like calculus, physics, and engineering for modeling and solving real-world problems.