Let the sequence (un)n20 of integers be defined by 40 = a Ui+1= 12 if u;...

 

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Let the sequence (un)n20 of integers be defined by 40 = a Ui+1= 12 if u; is even 3u; +1, if u; is odd 1. Write a function which prompts the user for a and determines N such that UN = 1. 2. Write a function which prompts the user for a value M, and returns A, the value of 2 a M such that N is maximized. Specifications Input: two lines, the first one being 1 or 2 for the function from question 1 or 2, respectively, and an integer corresponding to a or M on the second one; Output: one line showing the result; Let the sequence (un)n20 of integers be defined by 40 = a Ui+1= 12 if u; is even 3u; +1, if u; is odd 1. Write a function which prompts the user for a and determines N such that UN = 1. 2. Write a function which prompts the user for a value M, and returns A, the value of 2 a M such that N is maximized. Specifications Input: two lines, the first one being 1 or 2 for the function from question 1 or 2, respectively, and an integer corresponding to a or M on the second one; Output: one line showing the result;