Final answer:
The explicit rule for this sequence in simplified form is given by a_n = a_1(1 + r)^(n-1), where a_n represents the salary at year n, a_1 represents the initial salary, r represents the growth rate, and n represents the number of years. In this case, Mr. Brown's salary is $32,000 and it increases by 3% each year.
Step-by-step explanation:
The explicit rule for this sequence in simplified form is given by:
an = a1(1 + r)n-1
where:
- an represents the salary at year n
- a1 represents the initial salary
- r represents the growth rate
- n represents the number of years
In this case, Mr. Brown's salary is $32,000 and it increases by 3% each year, so we have:
an = $32,000(1 + 0.03)n-1