SOLUTION: Upon graduation Sheldon decides to go to work for a local police department. His starting salary is $30000 per year and he expects to get a 3% raise per year. Write the recursion f

Question 287538: Upon graduation Sheldon decides to go to work for a local police department. His starting salary is $30000 per year and he expects to get a 3% raise per year. Write the recursion formula for a sequence that represents his salary n years on the job. Assume n=0 represents his first year making $30000.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Upon graduation Sheldon decides to go to work for a local police department. His starting salary is $30000 per year and he expects to get a 3% raise per year. Write the recursion formula for a sequence that represents his salary n years on the job. Assume n=0 represents his first year making $30000.
--------------
1st Yr: 1------30000
2nd Yr: 2------30000+30000(0.03) = 30000(1.03)
3rd Yr: 3------30000(1.03)^2
...
...
nth Yr: n-1------30000(1.03)^(n-1)
========================================
a(n) = 30000(1.03)^(n-1)
========================================
Cheers,
Stan H.

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