A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. There were 3 geese in the first generation, how many will there be by the 15th generation?

This would produce a geometric sequence of the form:

g=3 (2.2) ^ (n-1)

The sum of which is:

g=3 (1-2.2^n) / (1-2.2) cleaning up a bit ...

g=-3.6 (1-2.2^n)

g (15) = - 3.6 (1-2.2^15)

g (15) = 492764.6, since the number of geese must be an integer ...

g (15) = 492764