Geometric sequences

How can visual patterns be used to prove sums of series?

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

Simple additions can lead to intriguing results...

What is the sum of: 6 + 66 + 666 + 6666 ............+ 666666666...6 where there are n sixes in the last term?

Explore what happens when you draw graphs of quadratic equations with coefficients based on a geometric sequence.

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

In this investigation, you are challenged to make mobile phone numbers which are easy to remember. What happens if you make a sequence adding 2 each time?

Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?

In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.

Make a poster using equilateral triangles with sides 27, 9, 3 and 1 units assembled as stage 3 of the Von Koch fractal. Investigate areas & lengths when you repeat a process infinitely often.