Geometric series

A geometric series is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed, constant factor called the common ratio. For example, in the series 2, 4, 8, 16, each term is multiplied by 2 to get the next. When summing many terms of a geometric series, there's a specific formula to find the total, especially if the series converges (approaches a limit). This concept is useful in fields like finance, physics, and computer science to model growth patterns, decay, or repeated processes that expand or shrink by consistent ratios.