### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Golden Thoughts

Rectangle PQRS has X and Y on the edges. Triangles PQY, YRX and XSP have equal areas. Prove X and Y divide the sides of PQRS in the golden ratio.

Each spoke of the London eye is about $\frac{1}{20}$ mile long. As 1 mile is approximately 1600m this means that the radius of the giant wheel is roughly 80m. So the circumference is approximately 500m.