Answer:
7 stations
19 stations
199 stations
Explanation:
We can model the stage number as
, and the number of modules as
. We can write this as a linear equation, where the initial number of modules is 1, and the number of modules increases by 2 every station. This is
, but since if you plug in 1 into the equation, you get 3, which is the station number for the next number, you have to edit that into x - 1:
Expanding, we have 2x - 2 + 1, which is 2x - 1:
Now, plugging 4 into the equation, we have 7.
Plugging 10 into the equation, we have 19.
Plugging 100 into the equation, we have 199.