Sequences
Find rules in number sequences, from simple steps to square numbers, Fibonacci-style patterns and the nth term.
What your child learns
- Look at the difference between terms
- Recognise square, triangular, doubling and Fibonacci sequences
- Write and use an nth-term rule like 3n + 2
Example
5, 8, 11, 14… rule +3, nth term 3n + 2, so the 10th term is 32.
Practice questions
A taste of the questions in BloomTracks – the app makes fresh ones every time and adjusts the level as your child answers.
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Question 1 · Level 1
What comes next? 5, 15, 25, 35, …
Show the answer
Answer: 45
Each number goes up by 10. Next is 45.
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Question 2 · Level 3
What comes next? 10, 12, 9, 11, 8, 10, …
Show the answer
Answer: 7
The pattern alternates: +2, −3, +2, −3… Next is 7.
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Question 3 · Level 5
Triangular numbers: 1, 3, 6, 10, 15, … What is the 11th triangular number?
Show the answer
Answer: 66
11 × 12 ÷ 2 = 66.
Try it at home
Count in 3s or 7s from different starting numbers and spot the patterns.
Key takeaway
The step between terms becomes the number in front of n.
Practise sequences with Bloomie
Bloomie reads every question aloud, listens to spoken answers and adapts the difficulty one question at a time.