AP®︎ Calculus BC: Topic 10.3 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 10.3 of AP Calculus BC – The nth Term Test for Divergence.

Questions List

Topic 10.3

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Question 1 Easy

Which of the following is a statement of the nth term test for divergence for a series ∑an\sum a_n?

AIf lim⁡n→∞an≠0\lim_{n\to\infty} a_n\neq0, then ∑an\sum a_n diverges.
BIf lim⁡n→∞an=0\lim_{n\to\infty} a_n=0, then ∑an\sum a_n converges.
CIf lim⁡n→∞an≠0\lim_{n\to\infty} a_n\neq0, then ∑an\sum a_n converges.
DIf ∑an\sum a_n diverges, then lim⁡n→∞an≠0\lim_{n\to\infty} a_n\neq0.

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 10.3: The nth Term Test for Divergence

Learning Objective: LIM-7.A

Determine whether a series converges or diverges.

Essential Knowledge: LIM-7.A.5

The nth term test is a test for divergence of a series.

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