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Give a recursive definition of the function f = 5.3n, n = 0, 1, 2, ...Select one:a.f = 3.f(n-1) if n > 0, and f(0) = 5b.f = 5.f(n-1) if n > 0, and f(1) = 15c.None of the othersd.f = 5.f(n-1) if n > 0, and f(0) = 5e.f = 3.f(n-1) if n > 0, and f(1) = 15

Question

Give a recursive definition of the function f = 5.3n, n = 0, 1, 2, ...Select one:a.f = 3.f(n-1) if n > 0, and f(0) = 5b.f = 5.f(n-1) if n > 0, and f(1) = 15c.None of the othersd.f = 5.f(n-1) if n > 0, and f(0) = 5e.f = 3.f(n-1) if n > 0, and f(1) = 15

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Solution

The correct answer is c. None of the others. The function f = 5.3n cannot be defined recursively using the options provided. A recursive definition for this function would be f(n) = 5.3 * f(n-1) if n > 0, and f(0) = 1. This is because each term in the sequence is 5.3 times the previous term, and the first term (when n=0) is 1 (since 5.3 * 0 = 0). None of the provided options match this definition.

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