When a series or sequence diverges, it means that the terms of the series or sequence do not approach a finite value as the number of terms increases. In other words, the sum or limit of the terms does not exist.
Converges: When a series or sequence converges, it means that the terms of the series or sequence approach a finite value as the number of terms increases. The sum or limit exists.
Infinite Series: An infinite series is an expression consisting of an infinite number of terms added together.
Geometric Series: A geometric series is a specific type of infinite series where each term is obtained by multiplying the previous term by a constant ratio.