Further MathsYears 12–13Further Algebra
Series and summation
Sum series using standard results, method of differences and proof by induction
What you'll learn
- 1
Imagine stacking coins — 1 coin, then 2, then 3, right up to 10. The total number of coins is a series, and adding them up is called summation.
- 2
Build the series 1 + 2 + 3 + 4 by stacking coins in rows.
- 3
Let's sum 1 + 2 + 3 + … + 10 using a clever trick.
- 4
How many pairs do you get when summing 1 to 20?
- 5
Use the number line to sum 2 + 4 + 6 + 8 (the first 4 even numbers).
- 6
Sum the series: 5 + 10 + 15 + 20 (multiples of 5).
- 7
What is the sum of the first 5 odd numbers: 1 + 3 + 5 + 7 + 9?
Practise Series and summation with Whizlo
Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.