2) For each of these lists of integers, provide a simple formula or rule that generates the terms of an integer sequence that begins with the given list. Assuming that your formula or rule is correct, determine the next three terms of the sequence. Note that any sequence may be a combination of multiple simple sequences. (2 points each). a) 1, 9, 17, 25, 33, ... b) 1, 4, 16, 64, 256, ... c) 1, 1, 2, 3, 4, 5, 8, 7, 16, 9, ... (hint: it is a combination of two simple sequence at even and odd indices) d) [bonus 3 points] 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1,... (hint: index where the numbers change itself is a pattern) e) [bonus 3 points] 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8