geometric sequence

A sequence converges when its terms approach a fixed limit as the index increases; otherwise, it diverges, oscillates, or grows without bound.

A sequence \( a_n \) is called a geometric sequence if it consists of numbers arranged in such a way that the ratio between any term and the one before it is constant.

A geometric series is a sum of terms where each term is obtained by multiplying the previous one by a constant ratio. Its convergence depends on the value of the ratio.