Geometric sequences and series
Find nth terms, sums and sums to infinity of geometric sequences; convergence conditions
What you'll learn
- 1
Imagine a bouncing ball that comes up half as high each time it bounces. The heights form a sequence: 100cm, 50cm, 25cm, 12.5cm… That's a geometric sequence!
- 2
In a geometric sequence, what do we multiply by each time?
- 3
Drag the slider to change the common ratio and see how the sequence grows or shrinks.
- 4
Find the 5th term of a geometric sequence where first term a = 3 and common ratio r = 2.
- 5
What is the 4th term of a geometric sequence with a = 5 and r = 3?
- 6
Explore the formula for the nth term: a × r^(n-1). Type in a = 2, r = 3, n = 4 to find the 4th term.
- 7
Which formula gives the nth term of a geometric sequence?
Practise Geometric 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.