AlgebraDeep Dive

Types of Sequences

Part of Sequences · GCSE GCSE Mathematics revision

This deep dive covers Types of Sequences within Sequences for GCSE Mathematics. Revise Sequences in Algebra for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 3 of 7 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 7

Practice

14 questions

Recall

12 flashcards

Types of Sequences

Arithmetic Sequences

Add the same number each time: 3, 7, 11, 15, 19... (+4)

Geometric Sequences

Multiply by the same number each time: 2, 6, 18, 54... (×3)

Fibonacci Sequences

Add the previous two terms: 1, 1, 2, 3, 5, 8, 13...

Square Number Sequences

Perfect squares: 1, 4, 9, 16, 25... (1², 2², 3²...)

Keep building this topic

Read this section alongside the surrounding pages in Sequences. That gives you the full topic sequence instead of a single isolated revision point.

Key Vocabulary Worked Example 1: Identifying Patterns What's a Pattern?Worked Example 2: Different Sequence Types

Practice Questions for Sequences

What is the common difference of the arithmetic sequence below? 4, 11, 18, 25, 32, ...

A. 4
B. 7
C. 8
D. 11

1 markfoundation

Zara says: 'The sequence 4, 12, 36, 108 is an arithmetic sequence.' Explain why Zara is wrong. State what type of sequence it actually is.

2 marksstandard

Quick Recall Flashcards

What is a sequence in maths?

A list of numbers that follow a rule or pattern. Each number in the list is called a term.

What is a term in a sequence?

Each individual number in the sequence. The 1st term is denoted T(1) or u₁, the 2nd term is T(2), etc.

14 questions on Sequences — practise free

Instant marking, adaptive difficulty, and 12 spaced repetition flashcards. Free until your GCSEs.

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Key Vocabulary

Worked Example 1: Identifying Patterns