Ajob pays a salary of $8.50 an hour for the first year and $8.85 an hour for the second year. the hourly salary for year n follows an arithmetic sequence.
part a: write a recursive rule for the hourly salary.
part b: write an explicit rule for the hourly salary.

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

The answers to the question above are "a1=8.5; an=an-1+0.35" and "f(n) = 8.5+ 0.35(n - 1)" which is the recursive rule and the explicit rule of the sequence. The Recursive rule could be started with a different number other than the 8.5 but the explicit rule always uses the 8.5 as the starting number.