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...
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.
Worksheet
Curated OER

Infinite Geometric Series

For Students 10th - 12th
In this geometric series worksheet, 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...
Worksheet
Curated OER

Introduction to Infinite Series

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

The Hunter and His Dog

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

Worksheet 7

For Students 11th - Higher Ed
In this math activity, students examine the values of the series and determine how they could be defined as divergent. They also evaluate the Squeeze Theorem.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Sequences and Series

For Students 9th - 10th Standards
Hotmath provides 20 practice problems relating to sequences and series. Each of the practice problems include a step-by-step guide for solving.
Handout
Math Open Reference

Math Open Reference: Series

For Students 9th - 10th Standards
A complete reference guide to a series. It provides definitions, examples, and an animation that enhances further explanation. Includes links to related topics.
Activity
Wolfram Research

Wolfram Math World: Convergent Series

For Students 9th - 10th
This page gives a brief overview of convergence as it pertains to series. Somewhat difficult to understand if you are not already familiar with the topic. The site gives fundamental information pertaining to all series of converent...
Handout
Wolfram Research

Wolfram Math World: Convergence Tests

For Students 9th - 10th
This page provides links to information about tests to determine the convergence or divergence of a series. No information about convergence tests is offered directly at this link.