3. Use mathematical induction to show that for any positiveinteger n, 6 evenly divides 7-1. (Please explain the steps)
4. Give a recursive definition of the set of all positive evenintegers.
5. Give a recursive algorithm for finding the mode of a list ofintegers. (The mode is the most frequently occurring number foundin a set of numbers. You may assume that the list of integers isalready ordered in increasing order .)
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