Testing for Convergence & Divergence by Comparing Series


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question 1 of 3

What do you need to find to determine whether a particular series is convergent according to the comparison test?

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1. According to the comparison test, what do you need to find to determine whether a particular series is divergent?

2. Which of the following series converges?

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About This Quiz & Worksheet

Apply your knowledge of the comparison test for convergence and divergence using this brief quiz/worksheet. You must have an understanding of what a series is and what you're looking for when using the comparison test in order to answer all quiz questions.

Quiz & Worksheet Goals

You will do well on this quiz if you are able to:

  • Define a series
  • State what you need to determine to find whether a particular series is convergent or divergent
  • Identify a series that converges based on given images
  • Explain what the two series must be in order to use the comparison test

Skills Practiced

  • Defining key concepts - ensure that you can accurately define a series
  • Interpreting information - verify that you can read information about necessary properties of the two series when using the comparison test and interpret it correctly
  • Knowledge application - use your knowledge to understand what needs to be determined in order to call a series convergent or divergent

Additional Learning

If you need further review of this topic, you can refer to the lesson Testing for Convergence & Divergence by Comparing Series. Concepts you will learn about in this lesson include:

  • Notation used to show a series
  • Rule followed when comparing series to test for convergence
  • Guidelines for comparison testing for divergence