Question

Complete the recursive formula of f(n)f(n)f, left parenthesis, n, right parenthesis.

Answer 1

The given function is

`f(n)=-48*(-(1)/(4))^n`

Now we need to find the value of f(1) and the recursive formula then,

`f(1)=-48*(-(1)/(4))^1=-48*-(1)/(4)=12`

And the recursive formula is given as

`f(n)=f(n-1)+a_1`

On putting the values we have

`f(n)=-48*(-(1)/(4))^(n-1)+12`

Hence this is the required answer.