Question

F(1)=-12 and f(n)=2f(n-1) then find the value of f(6).

Answer 1

Notice that from the definition of f(n):

`f(6)=2f(5)=2(2f(4))=2(2(2f(3)))=2(2(2(2f(2))))=2(2(2(2(2f(1)))))\text{.}`

Therefore:

`f(6)=2^5f(1)=2^5(-12)=32(-12)=-384.`

Answer:

`f(6)=-384.`