Question: A new employee at an exciting new software company starts with a salary of $50,000 and is promised that at the end of each year her salary will be double her salary of the previous year, with an extra increment of $10,000 for each year she has been with the company.
a) Construct a recurrence relation for her salary for her nth year of employment.
b) Solve this recurrence relation to find her salary for her nth year of employment