1 out of 3
How much of the square is coloured blue? How will the pattern continue?
3 out of 3
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
1 out of 3
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
3 out of 3
By inscribing a circle in a square and then a square in a circle find an approximation to pi. By using a hexagon, can you improve on the approximation?
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This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.
2 out of 3
Does it make any difference how we write powers of powers?
3 out of 3
The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases?
1 out of 3
1 out of 3
2 out of 3
Investigate the successive areas of light blue in these diagrams.
