Understanding Series
A series is the sum of the terms of a sequence. Convergent series approach a definite value, while divergent series do not. Key examples include:
- Arithmetic Series: Each term increases by a constant value. For example, \(1, 2, 3, \dots\)
- Geometric Series: Each term is multiplied by a constant. For example, \(1, \frac{1}{2}, \frac{1}{4}, \dots\)
Use interactive tools to visualize convergence and divergence: