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Consider the following definition of Fibonacci numbers: = 0 F(n) = = { 0 if n = 1 if n 1 F(n 1) + F(n

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Consider the following definition of Fibonacci numbers: = 0 F(n) = = { 0 if n = 1 if n 1 F(n 1) + F(n 2) if n > 2 > n = a. (3 marks) Give the set of all natural numbers q for which F(q) > 1.69-2. Justify briefly. (In the textbook, the set of natural numbers, denoted N, starts from 0. This is what we adopt in this course.) b. (3 marks) Does your answer to a imply the following assertion: 3c, no > 0, such that 0 no. Explain briefly. Vn

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