A better way to write the first function would be:
c(n) = 4 * c(n-1), meaning that the number of of likes is equal to four times the number of likes from the previous day.
On the first day, c(n), or c(0) = 100
Therefore:
C(n) = 100 * 4^n
Let's plug in a view values to test our function:
When n= 0 (first day)
C(0) = 100 * 4 ^0 = 100*1 = 100 likes
C(1) = 100 * 4^1 = 100 * 4 = 400 likes, four times the previous day
C(2) = 100 * 4^2 = 100 * 16 = 1600 likes, four times the previous day
And so on. Our function is an accurate descriptor of the model.
