AlgebraDeep Dive

Types of Sequences

Part of SequencesGCSE Mathematics

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 6 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 6

Practice

14 questions

Recall

12 flashcards

Types of Sequences

1
Arithmetic Sequences

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

2
Geometric Sequences

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

3
Fibonacci Sequences

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

4
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.

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.

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