11. Convergence Tests II

Alternating Series — Quiz

Test your understanding of alternating series with 5 practice questions.

Practice Questions

Question 1

Which description matches an alternating series?

Question 2

For the series $\sum_{n=1}^{\infty}(-1)^{n+1}\frac{1}{n}$, what does the Alternating Series Test tell us?

Question 3

Which condition must be checked first when using the Alternating Series Test on $\sum (-1)^{n+1}b_n$?

Question 4

When approximating $\sum_{n=1}^{\infty}(-1)^{n+1}\frac{1}{n}$ by the partial sum $S_5$, what is the maximum possible error?

Question 5

What type of convergence does $\sum_{n=1}^{\infty}(-1)^{n+1}\frac{1}{n^2}$ have?