# Properties of Series Exercises

### Example 1

Find the sum of the series.

You may assume

### Example 2

Find the sum of the series.

You may assume

### Example 3

Find the sum of the series.

You may assume

### Example 4

Find the sum of the series.

You may assume

### Example 5

Find the sum of the series.

You may assume

### Example 6

Let be a convergent series and be a divergent series. Does the series

converge or diverge? Does the answer depend on the particular choice of *a _{n}* and/or

*b*?

_{n}