MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
A sample of bacteria triples every 4 hours. At noon, the population is estimated to be 1\,200.
(i) Model the population Pn after n periods of 4 hours by writing its general term in the form Pn=…
(ii) Calculate the population at 8\,p.m. on the same day.
(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.