5. Series

Rearrangements, If Included — Quiz

Test your understanding of rearrangements, if included with 5 practice questions.

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Practice Questions

Question 1

What is a rearrangement of a series $\sum_{n=1}^\infty a_n$?

Question 2

If $\sum_{n=1}^\infty a_n$ converges absolutely, what happens to any rearrangement?

Question 3

Which series is a standard example of a conditionally convergent series?

Question 4

What does the Riemann rearrangement theorem say about a conditionally convergent series?

Question 5

Which of the following is a valid rearrangement of $\sum_{n=1}^\infty a_n$?