Geometric sequences

Which of these pocket money systems would you rather have?

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

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

If a number N is expressed in binary by using only 'ones,' what can you say about its square (in binary)?

If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.

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

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

These grids are filled according to some rules - can you complete them?