5. Series

Infinite Series — Quiz

Test your understanding of infinite series with 5 practice questions.

Practice Questions

Question 1

In the context of infinite series, what does $\sum_{n=1}^{\infty} a_n$ represent if it converges?

Question 2

If the infinite series $\sum_{n=1}^{\infty} a_n$ converges, which statement must be true?

Question 3

Evaluate the geometric series $\sum_{n=0}^{\infty} 3\left(\frac{1}{4}\right)^n$.

Question 4

What can be said about the harmonic series $\sum_{n=1}^{\infty} \frac{1}{n}$?

Question 5

What does it mean for a series $\sum a_n$ to converge absolutely?