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Answer :
Final answer:
The correct recurrence relation for calculating the employee's annual salary with an annual raise is Sₙ = S_(n-1) + 2000 + 0.03 S_(n-1), which includes both a fixed raise and a percentage of the previous year's salary. So, the correct option is b) Sₙ = S_(n-1) + 2000 + 0.03 Sₙ
Explanation:
The recurrence relation for an employee's salary in this scenario would be based on the increase in salary due to both a fixed raise and a percentage of the previous year's salary. Every year, the employee gets a raise of $2,000 plus 3% of the salary from the previous year. Thus, the correct recurrence relation from the options provided is Sₙ = S_(n-1) + 2000 + 0.03 S_(n-1), indicating that the next year's salary (Sₙ) is equal to the previous year's salary (S_(n-1)) plus a $2,000 increase and an additional 3% of the previous year's salary.
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