Question

a population of size 2000 at time t equals​0, where t is measured in years. 1. Suppose Jonesville​'s population grows by 170 people per year. 2. Suppose the population of Smithville grows by 7​% per year.

Answer 1

Answer:

1. $a_n=a_1+(n-1)d$

2.$a_n$ $=a_n_-_1+a_n_-_1(0.07)$

Step-by-step explanation:

For case 2 the population grows by 170 per year. Therefore for year t=0 its 2000 and t=1 then the population is 2170 and t=2 population is 2340. We can express the sequence as:

$a_n=a_1+(n-1)d$

We know the difference is d=170 and n=1,2,3....:

Case two can be define by:

$a_n$

$=a_n_-_1+a_n_-_1(0.07)$