# Worksheet: Ratio Test

In this worksheet, we will practice determining if a series is convergent or divergent using the ratio test.

**Q6: **

Consider the series . Determine whether the series converges or diverges.

- AIt converges.
- BIt diverges.

**Q8: **

Consider the series . Determine whether the series converges or diverges.

- AIt diverges.
- BIt converges.

**Q9: **

Consider the series . Determine whether the series converges or diverges.

- AIt diverges.
- BIt converges.

**Q12: **

Given that is a positive integer, find the set of values of for which the series is convergent.

- A
- B
- C
- D
- E

**Q14: **

Using the ratio test, determine whether the series is convergent, divergent, or whether the test is inconclusive.

- AThe test is inconclusive.
- BThe series is divergent.
- CThe series is convergent.

**Q15: **

The terms of a series are defined by the equations and . Using the ratio test, determine whether the series is convergent, divergent, or whether the test is inconclusive.

- AThe series is divergent.
- BThe test is inconclusive.
- CThe series is convergent.