Question

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?

Answer 1

Answer:

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