In mathematics, a series is the sum of the terms of a sequence. A series is said to converge if the sum approaches a specific value as more terms are added. This means that as you keep adding terms, the total gets closer and closer to a fixed number, rather than growing indefinitely. For example, the series formed by the terms of the sequence 1/n (where n is a positive integer) converges to a limit of 1. In contrast, a series like n diverges, as its sum increases without bound. Understanding series convergence is essential in fields like calculus and analysis.