10. Infinite Sequences and Series

Alternating Series Test For Convergence — Quiz

Test your understanding of alternating series test for convergence with 5 practice questions.

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Practice Questions

Question 1

Which condition is part of the Alternating Series Test for the series $\sum_{n=1}^{\infty} (-1)^{n+1} b_n$ to converge?

Question 2

Does the series $\sum_{n=1}^{\infty} (-1)^{n+1} \frac{1}{n}$ converge?

Question 3

What is the main reason the series $\sum_{n=1}^{\infty} (-1)^n \frac{n}{n+1}$ diverges?

Question 4

Which statement about the Alternating Series Estimation Theorem is correct?

Question 5

Which series definitely converges by the Alternating Series Test?