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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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