Given: The function below
[tex]c(n)=(4)n-1[/tex]To Determine: The functions that shows the number of likes each
Solution:
There were 100 likes the first day
[tex]C(1)=100[/tex]The given modelled function can be re-written as
[tex]\begin{gathered} c(n)=C(1)\times4^{n-1} \\ C(1)=100\times4^{1-1} \\ C(1)=100\times4^0 \\ C(1)=100\times1 \\ C(1)=100 \end{gathered}[/tex]The above function defined the given number of likes for the first day.
Therefore, the number of likes for the second day would be
[tex]\begin{gathered} C(2)=100\times4^{2-1} \\ C(2)=100\times4^1 \\ C(2)=100\times4 \\ C(2)=400 \end{gathered}[/tex]Hence, we can conclude that the function that shows the number of likes each day is
[tex]C(n)=100(4)^{n-1}[/tex]