The given function is
[tex]f(n)=-48\times(-\frac{1}{4})^n[/tex]
Now we need to find the value of f(1) and the recursive formula then,
[tex]f(1)=-48\times(-\frac{1}{4})^1=-48\times-\frac{1}{4}=12[/tex]
And the recursive formula is given as
[tex]f(n)=f(n-1)+a_1[/tex]
On putting the values we have
[tex]f(n)=-48\times(-\frac{1}{4})^{n-1}+12[/tex]
Hence this is the required answer.
