3. Sequences and Limits

Subsequences — Quiz

Test your understanding of subsequences with 5 practice questions.

Practice Questions

Question 1

Which statement best describes a subsequence of a sequence $\{a_n\}$?

Question 2

Let $a_n=\frac{1}{n}$. Which sequence is a subsequence of $\{a_n\}$?

Question 3

If $a_n\to L$, what happens to every subsequence of $\{a_n\}$?

Question 4

For $a_n=(-1)^n$, which subsequence converges to $1$?

Question 5

A sequence has two subsequences with different limits. What must be true about the original sequence?