# Math Tutorial 12.1 - Working with Term-to-Term Rules in Sequences

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There are 4 lessons in this math tutorial covering Working with Term-to-Term Rules in Sequences. The tutorial starts with an introduction to Working with Term-to-Term Rules in Sequences and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Working with Term-to-Term Rules in Sequences. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

• What are sequences in Math?
• What are the components of sequence?
• What are the common types of sequences?
• What is sequence notation?
• How to find the nth term of a sequence in a shorter way using the sentence notation?
• What are the rules for calculating the nth terms of some common sequences through the corresponding formulas?
• How do you find the nth term of combined sequences?
• How do you find the nth term of an arithmetic sequence by solving a system of linear equations?
• What is the procedure for finding the nth term of a quadratic sequence?

## Introduction

If there is a list of numbers, for example, 3, 6, 9, 12, … can you find more numbers that belong to this set?

What about 1, 5, 12, 21, 43, 59, 60, ….? Can you guess what number comes next? Why?

The same question for the list of numbers 1, 2, 4, 8, 16, 32, …? Can you recognize any pattern that helps you find which number comes next?

This tutorial focuses on sequences - mathematical objects that represent lists of numbers and/or items that have a kind of relationship with each other. The tutorial provides an introduction to the sequence concept and related ones, with some general features that we elaborate on further in the next tutorials in this chapter of Math.

Please select a specific "Working with Term-to-Term Rules in Sequences" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Sequences and Series Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
12.1Working with Term-to-Term Rules in Sequences
Lesson IDMath Lesson TitleLessonVideo
Lesson
12.1.1The Definition of Sequences
12.1.2The Different Types of Sequences Explained
12.1.3Understanding Sequence Notation
12.1.4A fast method for Finding the nth Term of a Sequence

## Whats next?

Enjoy the "Working with Term-to-Term Rules in Sequences" math tutorial? People who liked the "Working with Term-to-Term Rules in Sequences" tutorial found the following resources useful:

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2. Sequences and Series Video tutorial: Working with Term-to-Term Rules in Sequences. Watch or listen to the Working with Term-to-Term Rules in Sequences video tutorial, a useful way to help you revise when travelling to and from school/college
3. Sequences and Series Revision Notes: Working with Term-to-Term Rules in Sequences. Print the notes so you can revise the key points covered in the math tutorial for Working with Term-to-Term Rules in Sequences
4. Sequences and Series Practice Questions: Working with Term-to-Term Rules in Sequences. Test and improve your knowledge of Working with Term-to-Term Rules in Sequences with example questins and answers
5. Check your calculations for Sequences and Series questions with our excellent Sequences and Series calculators which contain full equations and calculations clearly displayed line by line. See the Sequences and Series Calculators by iCalculator™ below.
6. Continuing learning sequences and series - read our next math tutorial: Working with Arithmetic and Geometric Series. How to find the Sum of the First n-Terms of a Series.

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