You rent an apartment that costs $1700$1700 per month during the first year but the rent is set to go up $70$70 per yearWrite a recursive formula to show what the rent is during the nth year of living in the apartment

Question

You rent an apartment that costs $1700$1700 per month during the first year but the rent is set to go up $70$70 per yearWrite a recursive formula to show what the rent is during the nth year of living in the apartment

Answer 1

Let R(n) be the rent during the nth year.

Then, R(1) = 1700 (initial rent for the first year)

For n > 1, R(n) = R(n-1) + 70

Recursive formula:
\[ R(n) = \begin{cases} 1700 & \text{for } n = 1 \\ R(n-1) + 70 & \text{for } n > 1 \end{cases} \]