### Generally Geometric

Generalise the sum of a GP by using derivatives to make the coefficients into powers of the natural numbers.

### Harmonically

Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?

# Circles Ad Infinitum

##### Stage: 5 Challenge Level:
Can you spot your old friend the 30-60-90 triangle? Then you are into scaling down and geometric series.