# Lesson Worksheet: The 𝑛th Term Divergence Test Mathematics • Higher Education

In this worksheet, we will practice applying the 𝑛th term test for divergence which states that a series diverges if the limit of its 𝑛th term does not approach zero.

**Q7: **

Using the term test, determine whether the series is divergent or the test fails.

- AThe test fails.
- BThe series is divergent.