A convergent series is a sequence of numbers that, when added together, approaches a specific value as more terms are included. This means that the sum of the series gets closer and closer to a finite number, known as the limit, as the number of terms increases. For example, the series formed by adding fractions like 1/2, 1/4, 1/8, and so on converges to 1. In mathematics, a series is considered convergent if the sequence of its partial sums has a limit. This concept is important in various fields, including calculus and mathematical analysis. A well-known test for convergence is the Ratio Test, which helps determine whether a series converges or diverges based on the ratio of successive terms.