A series is a sequence of terms added together in a specific order. It can be either finite or infinite.
The most common types of series are arithmetic series, geometric series, and harmonic series. Other types include power series, alternating series, and Taylor series.
A convergent series is a series in which the sum of its terms approaches a finite value as more terms are added. In other words, the series has a limit.
A divergent series is a series in which the sum of its terms does not approach a finite value as more terms are added. In other words, the series does not have a limit.
Some important properties of series include the ability to combine series with the same type and to multiply series by a constant. Additionally, series can be manipulated using various tests to determine convergence or divergence, such as the ratio test and the integral test.