A sample of bacteria triples every 4 hours. At noon, the population is estimated to be 1\,200.
a. (i) Model the population Pn after n periods of 4 hours by writing its general term in the form Pn=…
b. (ii) Calculate the population at 8\,p.m. on the same day.
c. (iii) Find the smallest integer n such that the population will exceed 1\,000\,000. Also state the corresponding wall-clock time and day if the observation continues without interruption.