If f (1) = 2f (1) = 2 and f (n) = f (n-1) ^2-n

f (n) = f (n-1) 2-n

then find the value of f (4).

f (4) = -3

Step-by-step explanation:

f (1) = 2

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

If n=2

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

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

f (2) = 2^2-2

f (2) = 4-2

f (2) = 2

If n=3

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

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

f (3) = 2^2-3

f (3) = 4-3

f (3) = 1

if n=4

f (4) = f (4-1) ^2 - 4

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

f (4) = 1^2 - 4

f (4) = 1-4

f (4) = -3