Question

Shaun is not the cleanest student in the house, and
a colony of ants has decided to target the
steady supply of crumbs on his floor. Being more astute than he is hygienic, Shaun predicts that the colony cannot increase in number indefinitely as there is only a limited supply of crumbs. Hence the number of ants will tend to a bearable limit.

Answer 1

\[\text{Assume that the growth model is given by: }\]
\[\huge P_{n+1}=P_n+rP_n(1-\frac{ P_n }{ 2500 })\]
\[\text{where n is the number of days, }P_0=250,P_1=375\]
\[\text{What is the limit of the number of ants? }\]

Answer 2

\[\text{Determine the value of
r }\]