Question

If f(1) = 1 and f(n) = 2f(n − 1) then find the value of f(4).

Answer 1

`f(4)=8`

Explanation:

Given:

• 
  `f(1)=1`

• 
  `f(n)=2f(n-1)`

`\implies f(2)=2f(1)=2(1)=2`

`\implies f(3)=2f(2)=2(2)=4`

`\implies f(4)=2f(3)=2(4)=8`