Skip to content

0/5 Questions Answered

PreLecture Questions - Lesson 13 - 8.2 Series

Q1 The Divergence Theorem

1 Point

Grading comment:

Which of the following statements is true? (If there are multiple true statements, choose one of them.)

The following multiple-choice options contain math elements, so you may need to read them in your screen reader's “reading” or “browse” mode instead of “forms” or “focus” mode.

Choice 1 of 5: A. The sequence an=1n2an​=n21​ converges, and this fact implies that the series ∑n=1∞1n2n=1∑∞​n21​ also converges.Choice 2 of 5: B. The sequence an=1nan​=n1​ converges, and this fact implies that the series ∑n=1∞1nn=1∑∞​n1​ also converges.Choice 3 of 5: C. The sequence an=(−1)nan​=(−1)n diverges, and this fact implies that the series ∑n=1∞(−1)nn=1∑∞​(−1)n also diverges.Choice 4 of 5: D. The sequence an=n+1nan​=nn+1​ converges, and this fact implies that the series ∑n=1∞n+1nn=1∑∞​nn+1​ also converges.Choice 5 of 5: Statements A-D are all false.

Save Answer

Question 1: The Divergence Theorem

Q2

2 Points

Grading comment:

What is the fourth partial sum of an=n+1nan​=nn+1​? Please express your answer as a fraction (e.g., if your answer is 1.5, please type 3/2)

Save Answer

Question 2: 

Q3

1 Point

Grading comment:

Which of the following series converge? Select all series that converge.

The following checkbox options contain math elements, so you may need to read them in your screen reader's “reading” or “browse” mode instead of “forms” or “focus” mode.

Choice 1 of 5: A. ∑n=1∞2n−14nn=1∑∞​4n2n−1​

Choice 2 of 5: B. ∑n=1∞1n4n=1∑∞​n41​

Choice 3 of 5: C. ∑n=1∞1(−4)nn=1∑∞​(−4)n1​

Choice 4 of 5: D. ∑n=1∞4n−12nn=1∑∞​2n4n−1​

Choice 5 of 5: E. None of the above series converges

Save Answer

Question 3: 

Q4 Reflections

1 Point

Question 4.1 Videos

Q4.1 Videos

0.5 Points

Grading comment:

Please indicate your level of engagement with the videos for this lesson. (This is purely for your own reflection, and any answer will receive credit; so you can feel free to be honest.)

Choice 1 of 4: I did not watch any of the videos.Choice 2 of 4: I watched some of the videos.Choice 3 of 4: I watched all/most of the videos.Choice 4 of 4: I watched some/all of the videos actively (doing at least one of the following: taking notes, doing the examples, rewatching parts as needed, consulting the textbook/resources as needed, discussing the content with others)

Save Answer

Question 4.1: Videos

Question 4.2 Comfort level

Q4.2 Comfort level

0.5 Points

Grading comment:

Please, indicate your comfort level with the material from the video using the multiple choice options below.

Choice 1 of 4: I am not comfortable with the material.Choice 2 of 4: I am comfortable with the material, but would need support to do more complex exercises.Choice 3 of 4: I am confident in my ability to solve exercises, but would struggle to explain the ideas to a classmate.Choice 4 of 4: I am confident in my understanding of the material and could explain it to a classmate.

Save Answer

Question 4.2: Comfort level

Save All Answers

Submit & View Submission