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8- Determine if each of the following recursive definition is a valid recursive definition of a function f from a set of non-negative integers. Iff is well defined, find a formula for f(n) where n is non- negative and prove that your formula is valid. a. f(0) = 2,f(1) = 3,f(n) = f(n-1) - 1 for n ≥ 2 b. f(0) = 1,f(1) = 2,f(n) = 2f (n-2) for n = 2

8- Determine if each of the following recursive definition is a valid recursive definition of a function f from a set of non-negative integers. Iff is well defined, find a formula for f(n) where n is non- negative and prove that your formula is valid. a. f(0) = 2,f(1) = 3,f(n) = f(n-1) - 1 for n ≥ 2 b. f(0) = 1,f(1) = 2,f(n) = 2f (n-2) for n = 2

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8- Determine if each of the following recursive definition is a valid recursive definition of a function f from a set of non-negative integers. If f is well defined, find a formula for f(n) where n is non- negative and prove that your formula is valid. a. f(0) = 2,f(1) = 3, f(n) = f(n-1)-1 for n ≥ 2 b. f(0) = 1,f(1) = 2, f(n) = 2f (n-2) for n = 2
Transcribed Image Text:8- Determine if each of the following recursive definition is a valid recursive definition of a function f from a set of non-negative integers. If f is well defined, find a formula for f(n) where n is non- negative and prove that your formula is valid. a. f(0) = 2,f(1) = 3, f(n) = f(n-1)-1 for n ≥ 2 b. f(0) = 1,f(1) = 2, f(n) = 2f (n-2) for n = 2
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