6. Series and Sequences

Convergence Tests — Quiz

Test your understanding of convergence tests with 5 practice questions.

Practice Questions

Question 1

Which test can be used to determine the convergence of the series $\sum_{n=1}^{\infty} \frac{1}{n^3}$?

Question 2

For the series $\sum_{n=1}^{\infty} \frac{(-1)^{n}}{n}$, which test should be applied?

Question 3

What can be concluded if the Ratio Test yields $L > 1$ for a series $\sum a_n$?

Question 4

Which of the following series converges by the Comparison Test?

Question 5

If $\sum b_n$ converges and $0 \le a_n \le b_n$ for all $n$, what can be said about $\sum a_n$?