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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**

Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions |
---|---|---|---|---|---|

12.4 | Infinite Series Explained |

**1.** . What is

1 + *1**/**4* + *1**/**16* + *1**/**64* + ⋯

*4**/**3**5**/**4**6**/**5**9**/**8*

**Correct Answer: A**

**2.** . What is

1*-1**/**3* - *1**/**9* - *1**/**27* + ⋯

*4**/**3**3**/**4**1**/**3**1**/**4*

**Correct Answer: B**

**3.** . What is

*1**/**2**2**/**3**3**/**4**4**/**5*

**Correct Answer: B**

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

- It converges, as L = 0
- It converges, as L =
*1**/**2* - It diverges
- It converges, as L =
*-1**/**2*

**Correct Answer: C**

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

- It diverges
- It converges, as L =
*1**/**5* - It converges, as L = -
*1**/**5* - It converges as L = 0

**Correct Answer: A**

**6.** . What kind of series if the following?

- Geometric series
- Arithmetic series
- Harmonic series
- Euler series

**Correct Answer: C**

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

- It diverges
- It converges, as L =
*1**/**5* - It converges, as L = -3
- It converges, as L =
*3**/**5*

**Correct Answer: D**

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

16 + 12 + 8 + …

- It converges at 0
- It converges at 40
- It converges at -40
- It diverges

**Correct Answer: D**

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

- It cannot be determined
- It is convergent as it is an example of a factorial series
- It is divergent
- It is an exponential series, so it must be convergent

**Correct Answer: B**

*The root test of the series *

indicates that this series is

- Convergent, as L = 5
- Divergent, as L = 5
- Convergent, as L =
*5**/**6* - Divergent, as L =
*5**/**6*

**Correct Answer: B**

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