AP®︎ Calculus BC: Topic 10.6 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 10.6 of AP Calculus BC – Comparison Tests for Convergence.

Questions List

Topic 10.6

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

Question 1 Easy

Let an>0a_n>0 for all n≥1n\geq 1. Every partial sum Sn=a1+a2+⋯+anS_n=a_1+a_2+\cdots+a_n satisfies Sn<4S_n<4.

Which statement must be true about ∑n=1∞an\sum_{n=1}^{\infty}a_n?

AThe series diverges because its partial sums keep increasing.
BThe series converges, but its sum cannot be determined from the information given.
CThe series converges, and its sum is 4.
DConvergence cannot be determined without a formula for ana_n.

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 10.6: Comparison Tests for Convergence

Learning Objective: LIM-7.A

Determine whether a series converges or diverges.

Essential Knowledge: LIM-7.A.8

The comparison test is a method to determine whether a series converges or diverges.

Essential Knowledge: LIM-7.A.9

The limit comparison test is a method to determine whether a series converges or diverges.

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