Question

If f(1) = 2 and f(n) =f(n-1)^2 + n then find the value of f(3)

Answer 1

Answer:

$f(3) = 16$

Step-by-step explanation:

Step 1:  Find the value of f(2)

$f(2) = f(2-1)^2$

$f(2) = f(1)^2$

$f(2) = (2)^2$

$f(2) = 4$

Step 2:  Find the value of f(3)

$f(3) = f(3 - 1)^2$

$f(3) = f(2)^2$

$f(3) = (4)^2$

$f(3) = 16$

Answer:  $f(3) = 16$