Mutations are introduced into the E. coli genome at the rate of 1 mutation per 10^9 base pairs per
generation. Imagine that you start with a population of 10^6 E. coli, none of which carry any mutations
in your gene of interest, which is 1000 nucleotides in length and not essential for bacterial growth and
survival. In the next generaion, after the population doubles in number, what fraction of the cells,
on average, would you expect to carry a mutation in your gene? After the population doubles again,
what would you expect the frequency of mutants in the population to be? What would the frequency
be after a third doubling?
gen0 = 0
gen1 = 1+2*gen0 = 1 of 2*10^6
gen2 = 1+2*gen1 = 3 of 4*10^6
gen3 = 1+2*gen2 = 7 of 8*10^6