5.Congratulations! You have landed your dream job! As a part of a special sign on initiative, the company isoffering you the choice of salary plans. Under Option A, you start at $70,000 and your salary increases by $4,000each year. Option B has you starting at $57,000 but your salary increases by 5% every year. Assume you do notreceive other pay increases or promotions.Represent each salary option as a sequence. Express the sequence in nth term notation (non-recursiveа.form).b.Which salary option has the higher salary after 30 years of work? Justify your answer using sequences.с.Which salary option yields the most total pay after 30 years of work? Justify your answer using series.

We have to find the nth term by using sequence

5. Congratulations! You have landed your dream job! As a part of a special sign on initiative, the company is offering you the choice of salary plans. Under Option A, you start at $70,000 and your salary increases by $4,000 each year. Option B has you starting at $57,000 but your salary increases by 5% every year. Assume you do not receive other pay increases or promotions. а. Represent each salary option as a sequence. Express the sequence in nth term notation (non-recursive form). b. Which salary option has the higher salary after 30 years of work? Justify your answer using sequences. с. Which salary option yields the most total pay after 30 years of work? Justify your answer using series.