In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.
Explore what happens when you draw graphs of quadratic equations with coefficients based on a geometric sequence.
Can you correctly order the steps in the proof of the formula for the sum of the first n terms in a geometric sequence?
The interval 0 - 1 is marked into halves, quarters, eighths ... etc. Vertical lines are drawn at these points, heights depending on positions. What happens as this process goes on indefinitely?
If a number N is expressed in binary by using only 'ones,' what can you say about its square (in binary)?
Generalise the sum of a GP by using derivatives to make the coefficients into powers of the natural numbers.
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.
