Question

You rent an apartment that costs $1500 per month during the first year, but the rent

Answer 1

Answer:

$\begin{cases}a_1 = 1500\\a_n = 140+a_{n-1}\end{cases}$

==============================

Explanation:

$a_1 = 1500$ means the first term is 1500, ie this is the first rent value.

To get the next term, we add on $140

So

$a_2 = 140+a_1 = 140+1500 = 1640$

and

$a_3= 140+a_2= 140+1640 = 1780$

and so on.

In general, the nth term $a_n$ is found by adding 140 to the term just before it $a_{n-1}$

So that's where $a_n = 140+a_{n-1}$ comes from.