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In Course: GCSE Mathematics: Lower Tier

GCSE Maths: Linear Sequences and the Nth Term

Learn to recognise linear sequences, also known as arithmetic progressions. You'll find out how to continue them, describe their rules, and derive the all-important formula for the nth term.

GCSE Maths: Linear Sequences and the Nth Term

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Deck Contents

23 Cards
Lesson#1
Welcome to this deck on linear sequences. A sequence is simply a list of numbers that follows a pattern or rule. For example, 5, 10, 15, 20 is a sequence. In this deck, you'll learn how to work with a specific type called a linear sequence, where the numbers go up or down by the same amount each time.
Quiz#2
What is the general name for a list of numbers that follows a rule?

a sequence

Lesson#3
A linear sequence is one where the difference between any two consecutive terms is always the same. For instance, in the sequence 2, 5, 8, 11, the difference is always 3. This constant difference is a key feature. Another name for a linear sequence is an arithmetic progression.
Quiz#4
In a linear sequence, what is always the same between consecutive terms?

the difference

Quiz#5
What is another name for a linear sequence?

arithmetic progression

Lesson#6
The rule that tells you how to get from one term to the next is called the term-to-term rule. For the sequence 4, 9, 14, 19, the rule is 'add 5'. For the sequence 20, 18, 16, the rule is 'subtract 2'. This lets you find the next few numbers in the list.

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