Answer:
g(n)=80×3^(n-1)
Step-by-step explanation:
First term (a)=80
The ant population tripled every week.
So, the population of ant after 1st week will be (80 × 3) = 240
After 2 weeks, the population triples again.
We have, (240 × 3) = 720
Common ratio (r)=720/240
=3
r=3
The ants population is increasing in a geometric progression
A geometric progression is given by
g(n)=a × r^(n-1)
Substitute values of a and r to get the explicit formula
g(n)=a × r^(n-1)
g(n)=80×3^(n-1)
