AP®︎ Calculus BC: Topic 10.9 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 10.9 of AP Calculus BC – Determining Absolute or Conditional Convergence.

Questions List

Topic 10.9

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13

Question 1 Easy

A series ∑n=1∞an\sum_{n=1}^{\infty} a_n converges conditionally. Which of the following must be true?

A∑n=1∞∣an∣\sum_{n=1}^{\infty}|a_n| converges and ∑n=1∞an\sum_{n=1}^{\infty}a_n diverges.
B∑n=1∞an\sum_{n=1}^{\infty}a_n converges by the alternating series test.
C∑n=1∞an\sum_{n=1}^{\infty}a_n converges and ∑n=1∞∣an∣\sum_{n=1}^{\infty}|a_n| diverges.
D∑n=1∞an\sum_{n=1}^{\infty}a_n and ∑n=1∞∣an∣\sum_{n=1}^{\infty}|a_n| both converge.

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 10.9: Determining Absolute or Conditional Convergence

Learning Objective: LIM-7.A

Determine whether a series converges or diverges.

Essential Knowledge: LIM-7.A.12

A series may be absolutely convergent, conditionally convergent, or divergent.

Essential Knowledge: LIM-7.A.13

If a series converges absolutely, then it converges.

Essential Knowledge: LIM-7.A.14

If a series converges absolutely, then any series obtained from it by regrouping or rearranging the terms has the same value.

Also applying to college?Free college essay reviewGet your college essay graded