# easy example of convergent series | convergent series example | best example of convergent series

## convergent series examples list

### Alternating the signs of the reciprocals of positive integers produces a convergent series (alternating harmonic series)

### \frac{1}{1}+\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{5}+\frac{1}{8}+\frac{1}{13}+\frac{1}{21}

**what are examples of convergent series**

1. The reciprocals of Matra Meru numbers produce a convergent series

2. The reciprocals of triangular numbers produce a convergent series

3. Alternating the signs of the reciprocals of positive integers produces a convergent series (alternating harmonic series)