Find a linear nth term
- Find the common difference.
- Write difference × n.
- Adjust to match the first term.
Answer: 4, 9, 14, 19 has nth term 5n - 1
𝑥 Algebra
Nth term
Learn nth term with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
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Level 10 / 100 XP
1. Explanation
Key idea
- Nth term is part of algebra and appears often in KS3–GCSE maths.
- Linear sequences have a constant difference and nth term an + b.
- Use the worked model, help guide, interactive question and flashcards to practise nth term until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Nth term 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 Nth term
- Learn the rule: Linear sequences have a constant difference and nth term an + b.
- Worked model: Find the common difference. Write difference × n. Adjust to match the first term.
- 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
Find the nth term of 5, 8, 11, 14, ...
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Nth term
BackLinear sequences have a constant difference and nth term an + b.
FrontExample answer: Find the nth term of 5, 8, 11, 14, ...
BackThe difference is 3, so start with 3n. 3n gives 3, 6, 9, 12; add 2 to get 5, 8, 11, 14. nth term = 3n + 2.
FrontCommon check for Nth term
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
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