Sequences — Year 7 Practice Questions
10 marks · Suggested time: 20 minutes
Practise continuing and describing sequences with these Year 7 questions.
Questions
Write the next two terms of the sequence 5, 8, 11, 14, …
Describe the term-to-term rule for the sequence 2, 4, 8, 16, …
A sequence starts at 3 and follows the rule 'add 5'. Write the first four terms.
Write the first five square numbers.
Write the next two terms of the triangular number sequence 1, 3, 6, 10, …
Is 30 a term in the sequence 3, 6, 9, 12, …? Explain.
Answers & Worked Solutions
Question 1 Solution
Step 1: The term-to-term rule is 'add 3'.
Step 2: 14 + 3 = 17 and 17 + 3 = 20.
Answer: 17, 20
Question 2 Solution
Step 1: Each term is double the one before.
Step 2: The rule is 'multiply by 2'.
Answer: Multiply by 2
Question 3 Solution
Step 1: Start at 3.
Step 2: Add 5 each time: 3, 8, 13, 18.
Answer: 3, 8, 13, 18
Question 4 Solution
Step 1: Square each counting number: 1², 2², 3², 4², 5².
Step 2: This gives 1, 4, 9, 16, 25.
Answer: 1, 4, 9, 16, 25
Question 5 Solution
Step 1: The differences increase: +2, +3, +4, …
Step 2: 10 + 5 = 15 and 15 + 6 = 21.
Answer: 15, 21
Question 6 Solution
Step 1: The sequence is the multiples of 3.
Step 2: 30 = 3 × 10, so 30 is the 10th term.
Answer: Yes — it is the 10th term
Frequently Asked Questions
How do I describe a sequence fully?
Give the first term and the term-to-term rule, for example 'start at 5 and add 3 each time'.
Build strong foundations in Sequences
A free trial class with Teacher Rig helps your Year 7 child master Sequences now — so IGCSE Maths feels familiar, not frightening, later.
Heading toward IGCSE? See how Sequences develops in IGCSE Algebra and Graphs (Cambridge 0580) →