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faltersainse [42]
3 years ago
15

write the first 4 terms of the sequence defined by its given rule 5. f(1) = 7, f(n) = -4.f(n - 1) + 15

Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0

Answer:

The first 4 terms of the sequence are: 3, 9, 81, 6561

Step-by-step explanation:

We are given the following recursive function:

f(n) = [f(n-1)]^{2}

And the following initial condition:

f(1) = 3

The second term of the sequence is:

f(2) = [f(2-1)]^{2} = f(1)^2 = 3^2 = 9

The third term of the sequence is:

f(3) = [f(3-1)]^{2} = f(2)^2 = 9^2 = 81

The fourth term of the sequence is:

f(4) = [f(4-1)]^{2} = f(3)^2 = 81^2 = 6561

The first 4 terms of the sequence are: 3, 9, 81, 6561

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