Possessions------Sponsorship
1----------------$0.01
2----------------$0.02
3----------------$0.04
4----------------$0.08
5----------------$0.16
The sponsorship is doubling, so we are dealing with powers of 2.
Is the sponsorhip the same as 2 raised to the power of the number of possessions?
If this was the case, 3 possessions would raise 2 to the power of 3 i.e. 2X2X2 (or 8 cents).
And 4 possessions would raise 2 to the power of 4 i.e. 2X2X2X2 (or 16 cents).
Our pattern shows us that the real sponsorship is half this.
So, for 32 possessions, the sponsorship would be half of 2 raised to the power of 32.
The answer is $21,474,836.48 - a nice little earner!
Hawkeye's Footy Problem 1