Curated OER
Finding The Sum of an Infinite Series
Students examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They write...
Chapman University
e Poster
An interesting poster or handout showing Euler's number, e, as the calculated sum of an infinite series. The fractions start out large and gradually get smaller and smaller in both value and size. Shows some of the unique and fascinating...
Curated OER
Sum of an Infinite Series
In this word problem learning exercise, students solve one sum of an infinite/rate problem. The rate problem is solvable in two ways. The easiest approach is provided.
Curated OER
Exploring Infinite Series through Baravelle Spirals
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,...
CK-12 Foundation
Sums of Geometric Series
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...
West Contra Costa Unified School District
Arithmetic Series
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...
Curated OER
Exploring Infinite Series
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.
Curated OER
Trig Functions
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...
CK-12 Foundation
Sequence of Partial Sums: Partial Sums
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...
Texas Instruments
Serious Series
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...
Curated OER
Infinite Geometric Series
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...
Curated OER
Worksheet 31 - Infinite Sum
In this infinite sum worksheet, students identify an infinite geometric series, and use the Riemann sum. This one-page worksheet contains 6 multi-step problems.
Curated OER
Convergence Tests for Infinite Series
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.
Curated OER
Introduction to Infinite Series
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.
Curated OER
Infinite Series
In this math instructional activity, 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.
Curated OER
The Integral Test
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.
Curated OER
Complex Analysis: More Applications of Residues
In this applications of residues worksheet, students evaluate complicated trigonometric integrals and use residues to evaluate the sum of an infinite list of numbers. This two-page worksheet contains explanations and examples, as well...
Curated OER
Infinite Series: Convergent or Divergent
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...
Curated OER
Infinity
Students determine the sum of an infinite geometric series. In this determining the sum of an infinite geometric series lesson, students discuss how the sum of an infinite geometric series is a paradox. Students use the sum of an...
Curated OER
Linear Functions, Restricted Domains, Infinite Geometric Series, Interconnections
In this math worksheet, learners graph the linear functions in comparison to the inequalities. Then they compare the line segments on the coordinate plane.
Curated OER
Sequences and Series
In this sequences and series worksheet, 10th graders solve and complete 13 different problems that include infinite geometric series. First, they find the sum of each infinite geometric series. Then, students find the first three terms...
Curated OER
Sum of Infinite Geometric Series
Your mathematicians solve problems using geometric series in this pre-calculus lesson. They divide a unit square into very small pieces and identify the reasoning behind the sum of a series being less than one.
Curated OER
Algebra 2 and Trigonometry Practice Series #4
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.
Curated OER
Introduction to Series
In this Algebra II/Pre-calculus worksheet, 11th graders rewrite a series as a sum, evaluate a series, and rewrite a series using sigma notation. The two page worksheet contains 32 problems. Answers are provided.