If a bacterial culture starts with 200 cells and undergoes 5 generations, how many cells will be present?
Bacterial population expansion follows geometric doubling law Nt equals N0 times two to power n where n number of generations completed. This exponential power explains rapid colonization from few cells. For inoculum 200 cells undergoing five generations calculation yields successive doublings: after one generation 400, second 800, third 1600, fourth 3200, fifth 6400 cells assuming no mortality. Therefore final yield after n generations grows quickly even with modest No. Relationship assumes balanced exponential phase, constant generation time, negligible death, typical early batch before subs
Ref: Brock Biology of Microorganisms, 16th ed., Chapter 6: Population formula Nt=No2^n.