6. (15 points) You are given the following infinite sequence of elements from the set (0,1). 6a. Find a recursive definition for the sequence S using logical operators in the recursion. The logical operators must follow the rules shown in the table. V s 6b. Test your definition for n = 5 and n-6 by showing and evaluating the recursions. 6c. Find correct (but of course you will lose points if it is not). an explicit formula for the recursive definition. You do not need to prove that your formula is 6d. Test your explicit formula for n 5 and n 6. (Hint: you should get the same values as in 6b.)