Ages 13–18
BrainteenAges 12–18MathsWorksheet
Sequences: the nth term (Bigger numbers) · Practice set 1
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Each sequence goes up or down by the same amount every time. Answer each question.
Curriculum links
- Common Core HSF-BF.A.2: Write arithmetic and geometric sequences both recursively and with an explicit formula.
- Common Core HSF-LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, from a description or table.
- England NC KS3.MA.ALG.13: Recognise arithmetic sequences and find the nth term; recognise geometric and other sequences.
- BNCC EF07MA15: Use algebraic symbols to express patterns found in number sequences.
- BNCC EF08MA11: Find the rule of a recursive number sequence and describe how to get the next terms.
- Programmes FR C4.MA.AL.4: Express the rule of a sequence or a pattern with a formula.
Related sheets
Ages 12–18
Ages 13–18
Ages 13–18
Ages 12–18
Ages 12–18
About this activity
What your child practises
Skills: The nth term of a sequence (level 2).
Applying a method step by step and checking the answer – the skills secondary-school maths tests are built on.
What’s included
- 15 questions
- An answer key you can print with the sheet or on its own
- An on-screen version with instant marking and stars
Age and school year
Made for ages 12–18. That’s Grade 7–12 in the US, Year 8–13 in England, JSS 1 – SS 3 in Nigeria and Class 7–12 in India.
How to use it
- Print it at home or school – it fits a standard A4 or US Letter page.
- Print the answer key too, so marking takes seconds.
- Play it on screen: answers are marked instantly and children earn stars.
- Write on it on a tablet or touchscreen with a finger or stylus – no printer needed.
Tips for parents and teachers
- Play it on screen for instant feedback, then print a fresh version as a timed, calculator-free check.
- Check answers after each block of questions so a misconception is caught before it is practised.
- Use a fresh printed copy as a short timed test before an exam to practise working under pressure.
Good to know
- Time needed
- About 20–30 minutes
- You’ll need
- A printer (or a tablet to work on screen), a pencil and an eraser
- Difficulty
- On level (Bigger numbers) – pitched at ages 12–18
- Answer key
- Yes – print it with the sheet or on its own