Geometric Series

A geometric series is a fundamental concept in mathematics, particularly in the realm of sequences and series. It comprises a sequence of numbers where each term is found by multiplying the preceding term by a constant factor, known as the common ratio. This series is characterized by its distinct pattern of growth or decay, making it a vital tool in various mathematical and real-world applications. Understanding the properties and behavior of geometric series is crucial in fields such as finance, physics, and engineering, where exponential growth or decay phenomena are prevalent.