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Question 1 (5 points): Write a recursive function my_seq(n) in Python called that returns an, the nth term in the recursively-defined sequence given as follows:

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Question 1 (5 points): Write a recursive function my_seq(n) in Python called that returns an, the nth term in the recursively-defined sequence given as follows: do = 1 an = 3an-1 +28An-2, Q = -5 In addition, please solve the recursive equation using the characteristic roots method and write down an explicit formula for an inside a comment at the bottom. You only have to write down the explicit formula, you don't have to show your work. Question 2 (5 points): Let's define a "super" number n to be a positive integer (strictly greater than zero) such that either n = 7 OR n divided by 2 and rounded down is a "super" number. Note that this definition is recursive (the term "super" is in its own definition). Also note that if n divided by 2 and rounded down is equal to 0, then n is definitely NOT a "super" number. Write a recursive function definition in Python for a function named is super that takes a single input n and returns either True (as in, n is indeed a super number) or False (as in, n is not a super number). As an example, the first few "super" numbers are: 7, 14, 15, 28, 29, 30, 31, 56, etc

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