AP®︎ Calculus BC: Topic 10.10 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 10.10 of AP Calculus BC – Alternating Series Error Bound.


Questions List

Topic 10.10

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9

Question 1 Easy

Let S=∑n=1∞(−1)n+1n3S=\displaystyle\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{n^3}, and let S5S_5 be the sum of its first five terms.

What is the alternating series error bound for S5S_5?

A1125\frac{1}{125}
B1216\frac{1}{216}
C1343\frac{1}{343}
D1126\frac{1}{126}

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 10.10: Alternating Series Error Bound

Learning Objective: LIM-7.B

Approximate the sum of a series.

Essential Knowledge: LIM-7.B.1

If an alternating series converges by the alternating series test, then the alternating series error bound can be used to bound how far a partial sum is from the value of the infinite series.