# Infinite Series Explained

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use

The following math revision questions are provided in support of the math tutorial on Infinite Series Explained. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Infinite Series Explained tutorials. The Infinite Series Explained calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

Not sure on some or part of the Infinite Series Explained questions? Review the tutorials and learning material for Infinite Series Explained

Sequences and Series Learning Material
Tutorial IDTitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
12.4Infinite Series Explained

## Infinite Series Explained Revision Questions

1. . What is

1 + 1/4 + 1/16 + 1/64 + ⋯
1. 4/3
2. 5/4
3. 6/5
4. 9/8

2. . What is

1-1/3 - 1/9 - 1/27 + ⋯
1. 4/3
2. 3/4
3. 1/3
4. 1/4

3. . What is

n = 11/3n
1. 1/2
2. 2/3
3. 3/4
4. 4/5

4. . What can you say about the convergence of the series

n = 1n2 - 3n + 1/2n + 2
1. It converges, as L = 0
2. It converges, as L = 1/2
3. It diverges
4. It converges, as L = -1/2

5. . What can you say about the convergence of the series

n = 1n2 - 1/5n3
1. It diverges
2. It converges, as L = 1/5
3. It converges, as L = -1/5
4. It converges as L = 0

6. . What kind of series if the following?

n = 13n/n2
1. Geometric series
2. Arithmetic series
3. Harmonic series
4. Euler series

7. . What can you say about the convergence of the series

n = 1(3k/5k - 1)n
1. It diverges
2. It converges, as L = 1/5
3. It converges, as L = -3
4. It converges, as L = 3/5

8. . What can you say about the convergence of the series

16 + 12 + 8 + …
1. It converges at 0
2. It converges at 40
3. It converges at -40
4. It diverges

9. . What can you say about the convergence of the series

n = 15/n!
1. It cannot be determined
2. It is convergent as it is an example of a factorial series
3. It is divergent
4. It is an exponential series, so it must be convergent

The root test of the series

n = 1(5n/n + 6)n

indicates that this series is

1. Convergent, as L = 5
2. Divergent, as L = 5
3. Convergent, as L = 5/6
4. Divergent, as L = 5/6

## Whats next?

Enjoy the "Infinite Series Explained" practice questions? People who liked the "Infinite Series Explained" practice questions found the following resources useful:

1. Practice Questions Feedback. Helps other - Leave a rating for this practice questions (see below)
2. Sequences and Series Math tutorial: Infinite Series Explained. Read the Infinite Series Explained math tutorial and build your math knowledge of Sequences and Series
3. Sequences and Series Video tutorial: Infinite Series Explained. Watch or listen to the Infinite Series Explained video tutorial, a useful way to help you revise when travelling to and from school/college
4. Sequences and Series Revision Notes: Infinite Series Explained. Print the notes so you can revise the key points covered in the math tutorial for Infinite Series Explained
5. Check your calculations for Sequences and Series questions with our excellent Sequences and Series calculators which contain full equations and calculations clearly displayed line by line. See the Sequences and Series Calculators by iCalculator™ below.
6. Continuing learning sequences and series - read our next math tutorial: Working with Term-to-Term Rules in Sequences

## Help others Learning Math just like you

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use