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studyFunctions & Graphs
FoundationMaths revision

Number Patterns and Sequences

Describe patterns with term-to-term rules and nth-term formulas.

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Focus points
✓Identify arithmetic patterns.
✓Use nth-term expressions.
✓Model simple growth patterns.
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Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · arithmetic sequence
Find the next three terms: 7, 12, 17, 22, …
Question 2FluencyCore
Original practice · Free Online Revision
Skill · nth term
Find the nth term of 4, 9, 14, 19, …
Question 3FluencyCore
Original practice · Free Online Revision
Skill · nth term evaluation
Find the 40th term of the sequence with nth term 3n+7.
Question 4FluencyCore
Original practice · Free Online Revision
Skill · membership
Is 202 a term of the sequence 5n−3?
Question 5FluencyCore
Original practice · Free Online Revision
Skill · quadratic sequence
The nth term is n²+n. Find the first five terms.
Question 6ReasoningCore
Original practice · Free Online Revision
Skill · quadratic sequence
Find the nth term of 2, 6, 12, 20, 30, …
Question 7ApplicationCore
Original practice · Free Online Revision
Skill · pattern modelling
A matchstick pattern uses 5 sticks for figure 1 and adds 3 sticks each new figure. Find a formula for figure n.
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · arithmetic sequence parameters
An arithmetic sequence has 7th term 25 and 15th term 57. Find its first term and common difference.