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...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
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...
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.
Virginia Department of Education
Arithmetic and Geometric Sequences and Series
Examine the importance of sequence and series through contextual situations. Here, learners partake in a five-day unit that begins with the basics of arithmetic and geometric sequences and series. As it progresses, pupils apply the...
Curated OER
Trig Functions
In this trig functions learning exercise, 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...
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...
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
Arithmetic Sequences
Find the sequence of an equation with your math super stars. They differentiate between arithmetic and geometric sequences and then calculate the sum of finite and infinite sequences.
Curated OER
Introduction to Infinite Series
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.
Curated OER
Introduction to Infinite Series
For 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...
Curated OER
Infinite Geometric Series
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 contains 28...
Curated OER
Summary Worksheet: Sequences
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...
Rice University
Calculus Volume 2
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....
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
Finite Geometric Series
In this geometric series activity, students find the nth term in a sequence. They evaluate a given geometric sequence and determine the number of terms in a geometric series. This two-page activity contains 26 problems. Answers are...
Curated OER
Arithmetic Series
In this arithmetic series learning exercise, students solve and complete 26 various types of problems. First, they evaluate the related series of each sequence shown. Then, students determine the number of terms n in each arithmetic series.
Curated OER
Introduction to Sequences
In this algebra worksheet, 9th graders analyze patterns and figure out the next number or pattern in the series using explicit and recursive formulas. There are 44 questions with an answer key.
Curated OER
Arithmetic Series, Geometric Series, Partial Sums of Geometric Series
In this Algebra II/Pre-calculus learning exercise, learners solve problems that involve arithmetic series and infinite geometric. Students determine the partial sums of a geometric series. The three page learning exercise contains...
Curated OER
3c and 5c Stamps
Students explore multiples of consecutive numbers. Given a real life situation, students devise and use problem solving strategies. Students describe what it means for a sequence to carry on to infinity. They locate patterns in...
Curated OER
Complex Analysis: Cauchy's Second Residue Theorem
In this residue theorem worksheet, students evaluate functions, they express functions in terms of a Laurent series, and recall the infinite sequence. This four-page worksheet contains explanations and examples. It includes three...
Whitman College
Calculus
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems.
Curated OER
4c and 7c Stamps
Fifth graders determine what it takes for a sequence of numbers to carry on infinitely. They examine patterns that can be made using linear combinations of 4 and 7 based on the use of four cent and seven cent stamps. They use appropriate...