22. an employee joined a company in 2017 with a starting salary of $50,000. every year this employee receives a raise of $1000 plus 5% of the salary of the previous year. a) set up a recurrence relation for the salary of this employee n years after 2017. b) what will the salary of this employee be in 2025? c) find an explicit formula for the salary of this employee n years after 2017.

(a) The recurrence relation for the salary is

(b) The salary 25 years after 2017 will be $217044.85.

(c)

Step-by-step explanation:

We can define the next year salary as

wit S0=$50000

If we extend this to 2 years from 2017 (n+2), we have

Extending to 3 years (n+3)

Extending to 4 years (n+4)

We can now express a general equation for S_n (salary at n years from 2017)

The salary at 25 years from 2017 (n=25) will be

step-by-step explanation:

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