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Infinite Series

  • Alternating Series
  • Convergent Series
    • Absolute Convergence
    • Convergence Test
  • Divergent Series Calculus
    • Divergence Test
    • Nth Term Test
  • Maclaurin Series
  • Power Series
  • Sequence
  • Taylor Series
    • Taylor Polynomial
  • Tests of Convergence and Divergence
    • Divergence Test
    • Nth Term Test
    • Comparison Test
    • Integral Test
    • Ratio Test
    • Root Test

Show Related topics


  • Infinite Series Lesson Plans
  • Calc
  • Precalc
  • Sums
  • Partial Sums

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Infinite Series Teacher Resources

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Find Infinite Series lesson plans and worksheets
Showing 26 resources
AP Test Prep
AP® Calculus: Special Focus - Infinite Series AP Test Prep
College Board

AP® Calculus: Special Focus - Infinite Series

For Teachers 10th - 12th
Read a series to develop an understanding of series. The special focus professional development on infinite series consists of eight articles. Articles contain information strictly for teachers along with aspects to incorporate into the...
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eBook
Calculus Volume 2 eBook
Rice University

Calculus Volume 2

For Students 11th - Higher Ed
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
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Lesson Plan
Exploring Infinite Series Lesson Plan
Curated OER

Exploring Infinite Series

For Teachers 9th - 12th Standards
Learners analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series.
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Worksheet
Infinite Series Worksheet
Curated OER

Infinite Series

For Students 11th - Higher Ed
In this math worksheet, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Lesson Plan
Serious Series Lesson Plan
Texas Instruments

Serious Series

For Teachers 9th - 12th Standards
High schoolers are introduced to infinite series, geometric and telescoping series as well as the relationship between the sequence of partial sums of a series and its sum. They apply symbolic capacity of their calculator and calculus to...
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eBook
Calculus eBook
Whitman College

Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
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Worksheet
Sum of an Infinite Series Worksheet
Curated OER

Sum of an Infinite Series

For Students 12th - Higher Ed
In this word problem worksheet, students solve one sum of an infinite/rate problem.  The rate problem is solvable in two ways.  The easiest approach is provided.
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Worksheet
Basic Calculus II: Quiz 8 Worksheet
Curated OER

Basic Calculus II: Quiz 8

For Students Higher Ed
In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or...
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Worksheet
Testing Infinite Series for Convergence/ Divergence Worksheet
Curated OER

Testing Infinite Series for Convergence/ Divergence

For Students 11th - Higher Ed
In this math activity, students investigate the concepts of divergence and convergence for the functions. The sheet is handwritten and has poor quality.
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Interactive
Sums of Geometric Series Interactive
CK-12 Foundation

Sums of Geometric Series

For Students 11th - Higher Ed Standards
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
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Interactive
Sequence of Partial Sums: Partial Sums Interactive
CK-12 Foundation

Sequence of Partial Sums: Partial Sums

For Students 11th - Higher Ed
Have some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...
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Worksheet
Worksheet 35 Worksheet
Curated OER

Worksheet 35

For Students 11th - Higher Ed
In this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.
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Handout
Wolfram Math World: Infinite Series Handout
Wolfram Research

Wolfram Math World: Infinite Series

For Students 9th - 10th Standards
The site contains information on infinite series. Includes formulas and links to related topics.
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Online Course
Mit: Open Course Ware: Calculus (Textbook Study Guide) Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook Study Guide)

For Teachers 9th - 10th
The online course consists of a study guide about calculus. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
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Online Course
Mit: Open Course Ware: Calculus (Textbook Instructor's Manual) Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook Instructor's Manual)

For Teachers 9th - 10th
The online course consists of a textbook instructor's manual about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
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Online Course
Mit: Open Course Ware: Calculus (Textbook) Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook)

For Teachers 9th - 10th
The online course consists of a textbook about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
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Instructional Video
Khan Academy: Pre Calculus: Sequences and Series (Part 2) Instructional Video
Khan Academy

Khan Academy: Pre Calculus: Sequences and Series (Part 2)

For Students 9th - 10th Standards
This video follows from Khan Academy: Sequences and Series (Part 1) and furthers the idea of the basic geometric series. Explains how to find the sum of both a finite and an infinite geometric series. Uses limits to find the sum of an...
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Graphic
Rice University: Cynthia Lanius: Visualizing an Infinite Series Graphic
Rice University

Rice University: Cynthia Lanius: Visualizing an Infinite Series

For Students 9th - 10th
This site explains the infinite series through visualization.
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Online Course
Mit: Open Course Ware: Calculus With Theory Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus With Theory

For Teachers 9th - 10th
The online course consists of educational materials about calculus theory. Lecture notes, syllabus, and assignments with solutions are included.
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Activity
Old Dominion University: Calculus Animations W Mathcad Activity
Other

Old Dominion University: Calculus Animations W Mathcad

For Students 9th - 10th
Explanations and animations of limits, slopes, derivatives, arc length, infinite series, conic sections, cycloids, parametric curves, polar curves, quadric surfaces, and more.
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Activity
Paul's Online Notes: Calculus Ii: Series and Sequences Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Series and Sequences

For Students 9th - 10th
The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...
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Instructional Video
Khan Academy: Pre Calculus: Series Sum Example Instructional Video
Khan Academy

Khan Academy: Pre Calculus: Series Sum Example

For Students 9th - 10th
A video which gives the step-by-step solution to a difficult series sum problem from the Joint Entrance Exam for the Indian Institutes of Technology. It is problem 54 from Paper 1 of the 2010 exam. Students learn how to find the sum of a...
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Activity
Texas Instruments: Integral Test Activity
Texas Instruments

Texas Instruments: Integral Test

For Teachers 9th - 10th
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
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Activity
Old Dominion University: Geometric Series Activity
Other

Old Dominion University: Geometric Series

For Students 9th - 10th Standards
This site explains the geometric series. There is a link to the theory of the geometric theory.
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