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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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Lesson Plan
Curated OER

Exploring Infinite Series through Baravelle Spirals

For Teachers 9th - 12th
Students are introduced to the concept of convergent infinite series using a recursive geometric construction. They explore the concept of a convergent infinite series using partial sums. Students use formal calculations, visualizations,...
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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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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
Curated OER

Trig Functions

For Students 11th - 12th
In this trig functions worksheet, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They also find...
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Worksheet
Curated OER

Infinite Series

For Students 11th - Higher Ed
In this math worksheet, learners 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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Worksheet
Curated OER

Convergence Tests for Infinite Series

For Students 12th - Higher Ed
In this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
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Worksheet
Curated OER

Introduction to Infinite Series

For Students 10th - 12th
In this algebra worksheet, students find the pattern and nth formula for different series. They decide whether a sequence will diverge or converge. There are 13 questions.
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Worksheet
Curated OER

The Integral Test

For Students 12th - Higher Ed
In this integral test, students determine the limits, give partial sums of infinite series, explore geometric series, and use the Integral Test to determine if a function converges. This two-page worksheet contains six multi-step problems.
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Worksheet
Curated OER

Infinite Series: Converge or Diverge

For Students Higher Ed
In this infinite series worksheet, students determine if a series converges or diverges. Also, they estimate the value of the series. This two-page worksheet contains approximately 45 problems. This is a hand-written worksheet.
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Worksheet
Curated OER

Infinite Series: Convergent or Divergent

For Students 12th - Higher Ed
In this infinite series worksheet, students use the Integral Test to determine if a function is convergent or divergent. They use the Comparison Test to prove convergence and calculate partial sums. This two-page worksheet contains...
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Worksheet
Curated OER

Introduction to Infinite Series

For Students Higher Ed
In this infinite series worksheet, students explore the pattern in a series of numbers. They solve a sequence of partial sums and identify the limit. This two-page worksheet contains explanations, examples and approximately five problems.
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Worksheet
Curated OER

Infinite Geometric Series

For Students 10th - 12th
In this geometric series instructional activity, students examine a given geometric series to determine if the series converges or divergeas.  They evaluate and determine the common ratio of a geometric series.  This four-page...
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Worksheet
Curated OER

Testing Infinite Series for Convergence/ Divergence

For Students 11th - Higher Ed
In this math worksheet, students investigate the concepts of divergence and convergence for the functions. The sheet is handwritten and has poor quality.
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Worksheet
Curated OER

Infinite Geometric Series

For Students 11th
In this infinite geometric series worksheet, 11th graders solve and complete 33 various types of problems. First, they find the sum of the infinite geometric series for each of the given. Then, students find the range of values for each...
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Worksheet
Curated OER

Introduction to Taylor Series

For Students Higher Ed
In this Taylor Series worksheet, students explore functions with an infinite series. They complete an integral of convergence and explore the degree of the polynomials. This four-page worksheet contains four multi-step problems.
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Worksheet
Curated OER

Determine if the Given Six Series Converge Using the Alternate Series Test

For Students 12th - Higher Ed
In this alternate series test worksheet, learners use the alternating series test to determine if the given six infinite series converge.
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Worksheet
Curated OER

Algebra 2 and Trigonometry Practice Series #4

For Students 10th - 12th
For this sum of a series worksheet, students complete 6 multiple choice problems relating to the topic. They create an infinite series that converges to -2. Students graph one function on their graphing calculator.
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Lesson Plan
Curated OER

Infinite Geometric Series

For Teachers 11th
Eleventh graders investigate infinite geometric series.  In this Algebra II lesson, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series.   The TI-nspire handheld...
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Lesson Plan
Curated OER

Worksheet 4 - function

For Teachers Higher Ed
In this function worksheet, students identify functions, express decimals as fractions and write decimals as a geometric series. This one-page worksheet contains six multi-step problems.
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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
Curated OER

The Hunter and His Dog

For Students 12th - Higher Ed
In this distance learning exercise, students determine total distance and time. They identify an equation as convergent or divergent. This two-page learning exercise contains five multi-step problems.
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Worksheet
Curated OER

Summary Worksheet: Sequences

For Students Higher Ed
In this sequence worksheet, students determine whether the sequence is convergent or divergent. They find the limit of a given sequence, and solve distance problems. Students explore partial sums of an infinite series and use the...
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Worksheet
Curated OER

Integration Review

For Students 11th
In this algebra worksheet, 11th graders solve a series and identify if the series will diverge or converge based on n equals. There are 5 questions.