Question

Hayden is growing bacteria in two different solutions. Both populations start with a single bacteria. She records the number of bacteria in each solution every hour.

The population in solution A is modeled by the sequence An=22n, where n is the number of hours.

The population in solution B is modeled by the sequence B0=1, Bn=Bn−1+4, where n is the number of hours.

Are the sequences An and Bn functions? Why or why not?

Answer 1

They are functions because they have the variables

Answer 2

The sequence modeling the population in solution A is geometric

Each term is 4 times the previous team.

The sequence modeling the population in solution B is arithmetric

Each term is 4 more than the previous term.

Explanation: