# Series: The Series Finale Quiz

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!*

**Series**.

What is the third partial sum *S*_{3} of this series?

If

and

,

the divergence test tells us that

*A*and

*B*converge.

*A*diverges and

*B*converges.

*A*diverges and

*B*may either diverge or converge.

*A*may either diverge or converge and

*B*converges.

(I) must be an alternating series

(II) |*a*_{n + 1}| < |*a _{n}*|

(III) |

*a*

_{n + 1}| > |

*a*|

_{n}(IV)

What is the error bound for the 5th partial sum?

Assume that diverges and converges.

Which of the following statements is true?

(I)

(II)

By using the comparison test with the harmonic series for comparison, we can show that