First generation: 3
Second generation: \(3\times2.2\)
Third generation: \(3\times2.2\times2.2=3\times2.2^2\)
Fourth generation: \(3\times2.2\times2.2\times2.2=3\times2.2^3\)
And so on. The general formula for the \(n\)th generation is \(3\times2.2^{n-1}\). So by the 15th generation, you should expect around \(3\times2.2^{15-1}\approx186655\) geese.
