Series Convergence

Series convergence refers to the behavior of a sequence of numbers added together. When we sum an infinite series of numbers, if the total approaches a specific value as more terms are added, we say the series converges. For example, if adding terms gets closer and closer to 10, then we can say the series converges to 10. If the total keeps growing larger without settling on a value, it is divergent. Understanding convergence helps in various fields, such as mathematics, physics, and finance, by allowing predictions and calculations based on infinite processes or trends.