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How to Apply the Ratio Test for Convergence & Divergence Video

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

What is the name of the test you use to help you determine whether a series is convergent or not?

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1. When using the ratio test, what is the criteria for convergence of a series?

2. When using the ratio test, what is the criteria for divergence of a series?

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About This Quiz & Worksheet

In this quiz/worksheet combo, we've put together a series of questions on how to apply the ratio test for convergence and divergence. These questions will ask you about the criteria for divergence and convergence of a series when using the ratio test.

Quiz & Worksheet Goals

Our quiz is a handy way to see if you know:

  • The name of the test used to determine if a series is convergent or not
  • The criteria for convergence and divergence of a series when using the ratio test
  • The two terms of a series needed for the ratio test
  • Results of a ratio test that show the series diverges

Skills Practiced

  • Interpreting information - verify that you can read information regarding the two terms of a series needed for the ratio test and interpret it correctly
  • Knowledge application - use your knowledge to answer questions about the name of the test you use to help you determine if a series if convergent
  • Information recall - access the knowledge you've gained regarding the results of a ratio test when the series diverges

Additional Learning

If you'd like more information about this subject, take a look at our lesson called How to Apply the Ratio Test for Convergence & Divergence. Once you finish this lesson, you should be able to achieve the following objectives:

  • Recall and use the equation associated with the ratio test
  • Detail how to find the n + 1 term
  • Explain why your limit will never be negative
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