Kent has been looking to expand his business selling surf boards. As the tourist visits ramped up due to lock down measures being lift on his island, Kent has a plan to expand his production to other islands. As of 2020 Kent made and sold 200 boards. In the following years he expanded production to produce 20 additional boards per year. So in 2021 - 220 boards we produced and sold. In 2022 he plans to produce 240 boards for sale. By doing this Kent has formed an arithmetic sequence.

PART A

1. Identify what is term (a), and the common difference (d).

2. Using formulas show how Kent will produce and sell 360 boards in 2028.

3. Calculate the total number of boards he will produce and sell in 2039 inclusive of 2020

Part B

A. Carol received candy by the foot. It is 1395cm long, she cuts and shares it in such a way that the length of each piece follows an arithmetic sequence. If the length of the shortest piece of candy is 3cm and the longest piece is 90cm, how many pieces of candy can she get from the entire roll?

B. Find the common difference between each piece of candy?