
Geometric sequences


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


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

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

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

problem
Mobile numbers
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?

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

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

problem
Von Koch curve
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.