# Series

### Quizzes

1. |
The graph below shows the first 4 terms of the series . What is the third partial sum |

2. |
Consider the two series and . If and , the divergence test tells us that -> |

3. |
Consider the series . In order to use the Alternating Series Test, which of the following conditions must apply? (I) must be an alternating series (III) | a_{n + 1}| > |a|_{n}(IV) \ -> I, II, and IV |

4. |
Consider the alternating series What is the error bound for the 5th partial sum? -> |

5. |
Which series can not have its convergence or divergence determined by using the ratio test? -> |

6. |
Consider the picture shown below. Assume that diverges and converges. Which of the following statements is true? -> The series converges. |

7. |
Consider two series: (I) By using the comparison test with the harmonic series for comparison, we can show that -> neither (I) nor (II) diverge |

8. |
Suppose and both converge. Then -> converges |

9. |
Which convergence/divergence test should be tried first? -> the divergence test |

10. |
The series -> diverges by comparison with |