An applicant receives a job offer from two different companies. Offer A is a starting salary of $55,000 and a 5% increase for 5 years. Offer B is a starting salary of $56,000 and an increase of $2,000 per year. Part A: Determine whether offer A can be represented by an arithmetic or geometric series and write the equation for A_n that represents the total salary received after n years. Justify your reasoning mathematically. (3 points) Part B: Determine whether offer B can be represented by an arithmetic or geometric series and write the equation for B_n that represents the total salary received after n years. Justify your reasoning mathematically. (3 points) Part C: Which offer will provide a greater total income after 5 years? Show all necessary math work. (4 points)