Question

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?

Answer 1

186,655 that's the answer

Answer 2

First generation: 3

Second generation:
`3*2.2`

Third generation:
`3*2.2*2.2=3*2.2^2`

Fourth generation:
`3*2.2*2.2*2.2=3*2.2^3`

And so on. The general formula for the
`n`th generation is
`3*2.2^(n-1)`. So by the 15th generation, you should expect around
`3*2.2^(15-1)\approx186655` geese.