AP Calculus BC Flashcards: Alternating Series Test For Convergence

Study Alternating Series Test For Convergence in AP Calculus BC with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Find if the series $\textstyle \sum_{n=1}^{\infty} (-1)^n \frac{1}{n^5}$ converges.

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ANSWER

Yes, it converges by the Alternating Series Test. Higher powers guarantee all alternating series test conditions are satisfied.

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What this deck covers

This deck focuses on Alternating Series Test For Convergence, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus BC.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 50Practice questions for this set

A series is

\sum_{n=1}^{\infty}(-1)^{n+1}\frac{1}{n+\ln n}

for

n\ge2

. Does it converge?

Choose an answer

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