AP®︎ Calculus BC: Topic 10.1 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 10.1 of AP Calculus BC – Defining Convergent and Divergent Infinite Series.


Questions List

Topic 10.1

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15

Question 1 Easy

If an=n3na_n=\dfrac{n}{3^n} for n≥1n\geq1, what is a3a_3?

A29\frac{2}{9}
B13\frac{1}{3}
C19\frac{1}{9}
D481\frac{4}{81}

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 10.1: Defining Convergent and Divergent Infinite Series

Learning Objective: LIM-7.A

Determine whether a series converges or diverges.

Essential Knowledge: LIM-7.A.1

The nth partial sum is defined as the sum of the first n terms of a series.

Essential Knowledge: LIM-7.A.2

An infinite series of numbers converges to a real number S (or has sum S), if and only if the limit of its sequence of partial sums exists and equals S.