Module 03 assignment - recurrence relations and logic 1. your new job has a starting pay of $45,000. each year, your boss promises you an increase of $750. with this scenario in mind, answer the following questions provided that n = number of years working at the company. (a) give the recursively-defined sequence formula using a, and an in terms of an- for n > 1. (hint: assume that a, is 1 year worked at your job). (b) list the first five terms in the sequence. (c) find the formula that represents the sequence without using previous terms (use the inspired guess method). (d) if your boss changes your salary increase each year to 3% of your pay, how does the sequence change? write the sequence as a recursively-defined sequence. convert the formula to a formula without using previous terms.