10. Infinite Sequences and Series

The Nth Term Test For Divergence — Quiz

Test your understanding of the nth term test for divergence with 5 practice questions.

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Practice Questions

Question 1

What does the $n$th Term Test for Divergence say about a series $\sum a_n$ if $\lim_{n\to\infty} a_n \neq 0$ or the limit does not exist?

Question 2

Consider the series $\sum_{n=1}^{\infty} \frac{1}{n}$. What does the $n$th Term Test for Divergence tell you?

Question 3

What conclusion can you make about the series $\sum_{n=1}^{\infty} \frac{n}{n+1}$ using the $n$th Term Test for Divergence?

Question 4

Which statement about the $n$th Term Test for Divergence is true?

Question 5

For the series $\sum_{n=1}^{\infty} \frac{(-1)^n}{n}$, what does the $n$th Term Test for Divergence show?
The Nth Term Test For Divergence Quiz — AP Calculus BC | A-Warded