Consider the sequence defined as follows: find an explicit formula for the sequence (it can be piecewise explicit) by using the process of iteration (expand looking for patterns, guess, check). For full credit, you must show the iterative expansion and indicate how it reveals a pattern. You do not need to prove your explicit formula is correct, but you must show that it evaluates to the same number that the sequence produces at n. That is, you must show an evaluation of the formula by definition and by use of your formula at n.