When the two sides appear in the Supreme Court, how long does each side get to "make its case," which mostly consists of answering questions the justices ask?

You are given the first four terms of an arithmetic sequence. why might you use a recursive formula? why might you use an explicit formula? under what conditions might a recursive formula be preferred over the explicit formula? under what conditions might an explicit formula be preferred over the recursive formula? pleasss ! sorry if it's a long question: (