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