Geometric sequence
- Find the common ratio.
- Multiply to get the next term.
- Check the ratio stays constant.
Answer: 5, 15, 45 has common ratio 3
𝑥 Algebra
Geometric sequences
Learn geometric sequences with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Geometric sequences is part of algebra and appears often in KS3–GCSE maths.
- Geometric sequences multiply by a common ratio.
- Use the worked model, help guide, interactive question and flashcards to practise geometric sequences until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Geometric sequences learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Geometric sequences
- Learn the rule: Geometric sequences multiply by a common ratio.
- Worked model: Find the common ratio. Multiply to get the next term. Check the ratio stays constant.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
What is the next term: 3, 6, 12, 24, ...?
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Geometric sequences
BackGeometric sequences multiply by a common ratio.
FrontExample answer: What is the next term: 3, 6, 12, 24, ...?
BackEach term doubles, so 24 × 2 = 48.
FrontCommon check for Geometric sequences
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.