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Question 4: The sequence of numbers an, for n 0, is recursively defined as follows: a0 = 5, a1 = 3, an = 6 an1

Question 4: The sequence of numbers an, for n 0, is recursively defined as follows: a0 = 5, a1 = 3, an = 6 an1 9 an2 if n 2. Determine an for n = 0, 1, 2, 3, 4, 5. Prove that for every integer n 0, an = (5 4n) 3 n .

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