MathsYears 12–13Pure Mathematics

Sequences and series

Work with arithmetic and geometric sequences/series; sum to n terms and sum to infinity; binomial expansion

What you'll learn

  1. 1

    A sequence is a list of numbers that follow a rule — like the steps on a staircase 🪜

  2. 2

    What do we call each number in a sequence?

  3. 3

    Build this sequence: start at 3, add 2 each time. Drag the numbers onto the steps.

  4. 4

    Find the next two terms in the sequence: 5, 8, 11, 14, ...

  5. 5

    Now try this sequence: 2, 5, 8, 11, ... — add 3 each time. What is the 5th term?

  6. 6

    What is the 5th term of the sequence 2, 5, 8, 11, ...?

  7. 7

    A sequence starts at 10 and subtracts 2 each time. What is the 4th term?

Practise Sequences and series with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.