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# Series and Convergence (BC Calculus - Unit 10)

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11th - 12th, Higher Education
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Pages
9 + 22 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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2. AP Calculus BC 2nd Semester MEGA Bundle:This resource is a complete set of Guided Notes, homework, daily content quizzes and editable assessments for your AP Calculus BC students. There are five units aligned to AP College Board© CED Binder that cover the content with the rigor needed to prepare you
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### Description

Series and Convergence Lesson:
Your AP Calculus BC students will understand the definition of a convergent infinite series, use properties of geometric series and n-th Term Test for divergence.

What is included in this resource?

⭐ Guided Student Notes

Fully-editable SMART Board® Slides

⭐ Homework/Practice assignment

⭐ Content quiz

⭐ Full solution set

Lesson Objective:

★ Understand the definition of a convergent infinite series

★ Use properties of infinite geometric series.

★ Use the n-th Term Test for Divergence of an infinite series

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

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College Board® Topics:

Topic 10.1: Defining Convergent and Divergent Infinite Series

Topic 10.2: Working with Geometric Series

Topic 10.3: The nth Term Test for Divergence

College Board® Learning Objectives:

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

LIM-7.A.1: The nth partial sum is defined as the sum of the first n terms of a series. (BC Only)

LIM-7.A.2: An infinite series of numbers converges to a real number S (or has sum SI), if and only if the limit of its sequence of partial sums exists and equals S. (BC Only)

LIM-7.A.3: A geometric series is a series with a constant ratio between successive terms. (BC Only)

LIM.7.AA.4: If a is a real number and r is a real number such that |r|<1, then the geometric series ∑a/(1-r) BC Only

LIM-7.A.5: The nth term test is a test for divergence of a series. (BC Only)

LIM-7.A.6: The integral test is a method to determine whether a series converges or diverges. (BC Only)

The unit includes the following topics:

1. Series and Convergence

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
9 + 22 slides
Included
Teaching Duration
Lifelong tool
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