MathsYears 12–13Sequences and Series

Arithmetic sequences and series

Find nth terms and sums of arithmetic sequences; apply to modelling problems using sigma notation

What you'll learn

  1. 1

    An arithmetic sequence is like a ladder where you climb the same number of rungs each time. 🪜

  2. 2

    What do you add each time in an arithmetic sequence?

  3. 3

    Build the sequence: start at 3, add 4 each time. What's the 4th term?

  4. 4

    Let's find the 5th term of the sequence: 5, 8, 11, 14, ...

  5. 5

    What is the common difference in: 10, 7, 4, 1, ...?

  6. 6

    Now find the sum of the first 4 terms of: 2, 5, 8, 11.

  7. 7

    What is the sum of the first 4 terms: 2 + 5 + 8 + 11?

Practise Arithmetic 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.

Start free →Sign in