11. Convergence Tests II

Ratio Test — Quiz

Test your understanding of ratio test with 5 practice questions.

Practice Questions

Question 1

Using the ratio test, what is the value of $\left|\frac{a_{n+1}}{a_n}\right|$ for the series $\sum_{n=1}^\infty \left(\frac{3}{5}\right)^n$?

Question 2

What does the ratio test conclude for the series $\sum_{n=1}^\infty \frac{n!}{5^n}$?

Question 3

For the series $\sum_{n=1}^\infty \frac{1}{n}$, what is the ratio-test conclusion?

Question 4

Using the ratio test, what is the value of $\left|\frac{a_{n+1}}{a_n}\right|$ for the series $\sum_{n=1}^\infty \frac{n}{2^n}$?

Question 5

What does the ratio test conclude for the series $\sum_{n=1}^\infty \frac{2^n}{n}$?