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Alternating Series (BC Calculus - Unit 10)

Jean Adams
Grade Levels
11th - 12th, Higher Education
Formats Included
  • Zip
8 + 15 slides
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  1. Infinite Sequences & Series CALCULUS BC MEGA Bundle:This Calculus BC-MEGA Bundle of guided notes, homework, daily content quizzes, mid-unit and end-unit assessments, AP-Style assessments, review assignments, and cooperative activities covers the topics for INFINITE SEQUENCES & SERIES. The un
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Alternating Series Lesson:
Your AP Calculus BC students will use the alternating series and classify series as convergent or divergent and more.

What is included in this resource?

⭐ Guided Student Notes

Fully-editable SMART Board® Slides

⭐ Homework/Practice assignment

⭐ Content quiz

⭐ Full solution set

Lesson Objective:

★ Use the Alternating Series Test for convergence

★ Use the Alternating Series Remainder to approximate the sum of an alternating series

★ Classify convergent series as either absolutely or conditionally convergent

★ Rearrange an infinite series to obtain a different sum


NOTE: This lesson has been updated to reflect the changes in the AP Calculus CED Binder .


College Board® Topics:

Topic 10.5: Harmonic Series and p-Series

Topic 10.6: Comparison Tests for Convergence

Topic 10.10: Alternating Series Error Bound

College Board® Learning Objectives:

LIM-7.A: Determine whether a series converges or diverges. (BC Only)

LIM-7.A.7: In addition to geometric series, common series of numbers include the harmonic series, the alternating harmonic series, and p-series. (BC Only)

LIM-7.A.8: The comparison test is a method to determine whether a series converges or diverges. (BC Only)

LIM-7.A.9: The limit comparison test is a method to determine whether a series converges or diverges. (BC Only)

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. (BC Only)

The unit includes the following topics:

1. Series and Convergence

2. The Integral Test and p-Series

3. Comparison of Series

4. Alternating Series

5. Ratio and Root Tests

6. Taylor Polynomials and Approximations

7. Lagrange Error Bound and Accuracy

8. Power Series and Interval of Convergence

9. Taylor and Maclaurin Series

10. Representing Functions by Power Series

Click HERE to SAVE 20% by buying all INFINITE SEQUENCES & SERIES products, including cooperative activities, in the UNIT 10 MEGA BUNDLE.

You may also be interested in:

Sequences & Series Essentials

Sequences & Series Assessments

Sequences & Series Homework

AP® is a registered trademark of the College Board® which was not involved in the creation of, and does not endorse this product.



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Total Pages
8 + 15 slides
Answer Key
Teaching Duration
Lifelong tool
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