Alternating Series, Types of Convergence, and The Ratio Test

Alternating Series, Types of Convergence, and The Ratio Test

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains alternating series, their formation, and how to determine their convergence or divergence using the alternating series test. It covers examples of series, discusses absolute and conditional convergence, and introduces the ratio test for further analysis.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the presence of negative 1 in a series indicate it is alternating?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the limit of b sub n in the alternating series test?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the terms of a series as n approaches infinity in a convergent series?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Provide an example of a series that is divergent and explain why.

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