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spin [16.1K]
3 years ago
10

Please help!!!! If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

f(1) = 2

Now, we find f(2) in function of f(1). So

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

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

Now, with f(2), we can find the value of f(3).

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

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

The value of f(3) is -2.

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