"Problem on Distribution of Genotypes in a Population"
Suppose that a farmer has a large population of plants consisting of some distribution of all three possible genotypes AA, Aa, and aa.Suppose that the initial plants are fertilized with genotype AA, the first generation is
fertilized with genotype Aa, the second generation is fertilized with genotype AA, and this alternating
pattern of fertilization is kept up. Find formulas for the fractions of the plants of genotypes AA, Aa, and aa
in the nth generation.