In these worksheets, students will use sigma notation to express the value of sequences.

Sigma notation is a method used to write out a long mathematical expression or sequence in a concise way. There are situations where students are required to add an infinite quantity, and as you know, it is impossible to add a quantity infinite times, not something humanly possible. But, math always comes to rescue; even, in this case, there is an easy way to do that. This is when we can bring the concept of 'series' in the light. It is a major part of calculus and something that we can help us in our day-to-day activities. Series is the process or operation of adding infinitely many quantities to a given first quantity. While we discuss series, there is one important concept that you need to be well-aware of, and that is the sigma notation of series. So, what is the sigma notation of a series? Sigma is a Greek letter, denoted by Σ { , } which is used to represent a 'sum.'

In these worksheets, your students will learn to use sigma notation to express the value of sequences. They will simplify expressions using sigma notation. They will find the difference between two sequences expressed in sigma notation. There are 6 worksheets in this set. These are moderately complex problems and a sound understanding of trigonometry is required in order for students to be successful with these worksheets. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. It also includes ample worksheets for students to practice independently. Most worksheets contain between eight and ten problems. When finished with this set of worksheets, students will be able to use sigma notation to express the value of sequences. These worksheets explain how to use sigma notation to express the value of sequences. Sample problems are solved and practice problems are provided.

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Sigma Notation Worksheets

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Sigma Notation Lesson

This worksheet explains how to use sigma notation to express S4 for the sequence: 10, 15, 20, 25, 30, 35. A sample problem is solved, and two practice problems are provided.


Students will use sigma notation to express the value of sequences and simplify expressions of sequences. Ten problems are provided.


You will cover a wide range of topics in this series of exercises including evaluating sigma notation and finding difference between two series.

Review and Practice

The concept of how to use sigma notation to express the value of sequences is reviewed. A sample problem is solved. Six practice problems are provided.


Students will demonstrate their proficiency with applying this skill to exercises over the course of ten examples to work with.


This is a great way to introduce or review sigma notation with your classes. Three problems are provided, and space is included for students to copy the correct answer when given.

What Does This Notation Look Like Anyway?

Let's take a look at this in action and make sense of it. It helps in writing a long numeric series in a compact manner. Consider the following series, 4 + 8 + 12 + 16 + 20 + 24, now we can express this using the summation sign:

Sigma Series Example

We can read this as the sum of 4n where n goes from 1 to 6.