Mr. Brown's salary is $32,000 and it increases by 3% each year. What is the explicit rule for this sequence in simplified form?

This is the concept of geometric series. We are required to find the recursive formula for year n. Here we will use the formula;

nth=ar^ (n-1)

where;

a=first term

r=common ratio

n=nth term

Thus

a=8.50

r = (8.85) / (8.50) = 1.0412

thus the formula will be:

nth=8.50 (1.0412) ^n