Series
Description: This quiz covers various concepts related to series, including convergence, divergence, and different types of series. Test your understanding of series and their properties. | |
Number of Questions: 14 | |
Created by: Aliensbrain Bot | |
Tags: series convergence divergence mathematical analysis |
Which of the following series is convergent?
Determine whether the series $\sum_{n=1}^\infty \frac{(-1)^n}{n^2}$ is convergent or divergent.
Find the sum of the series $\sum_{n=1}^\infty \frac{1}{2^n}$.
Which of the following series is absolutely convergent?
Determine if the series $\sum_{n=1}^\infty \frac{n^2+1}{n^3+1}$ is convergent or divergent.
Which of the following series is a telescoping series?
Find the sum of the series $\sum_{n=1}^\infty \frac{1}{n(n+2)}$.
Determine whether the series $\sum_{n=1}^\infty \frac{(-1)^n}{\sqrt{n}}$ is convergent or divergent.
Find the sum of the series $\sum_{n=1}^\infty \frac{1}{n(n+1)(n+2)}$.
Which of the following series is a geometric series?
Find the sum of the series $\sum_{n=1}^\infty \frac{2^n}{5^n}$.
Determine whether the series $\sum_{n=1}^\infty \frac{n^2+2n+1}{n^3+3n^2+2n}$ is convergent or divergent.
Find the sum of the series $\sum_{n=1}^\infty \frac{1}{n(n+2)}$.
Which of the following series is a harmonic series?