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 An 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 Bn 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

Given that an applicant receives a job offer from two different companies, and Offer A is a starting salary of $ 55,000 and a 5% increase for 5 years while Offer B is a starting salary of $ 56,000 and an increase of $ 2,000 per year, to determine which offer will provide a greater total income after 5 years, the following calculation must be performed:

Offer A = Arithmetic
55000 x 1.05 ^ 5 = X
55000 x 1.2762 = X
70,195.48 = X

Offer B = Geometric
56000 + (5 x 2000) = X
56000 + 10000 = X
66,000 = X

Therefore, Offer A will provide a greater total income after 5 years.

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