A job 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.

Question

Mathematics

Velazquez

Today, 13:15

A job 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.

+2

Answers (2)

Know the Answer?

Jeremy Vance · Answer 1

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.

Taniya Sparks · Answer 2

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

A job 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.

A job 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.