25. For each of these lists of integers, provide a simple for- mula or rule that generates the terms of an integer se- quence that begins with the given list.Assuming that your formula or rule is correct, determine the next three terms of the sequence. a) 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1,... b) 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8,... c) 1, 0, 2, 0, 4, 0, 8, 0, 16, 0,... d) 3, 6, 12, 24, 48, 96, 192,... e) 15, 8, 1, -6, -13, -20, -27,... f ) 3, 5, 8, 12, 17, 23, 30, 38, 47,... g) 2, 16, 54, 128, 250, 432, 686,... h) 2, 3, 7, 25, 121, 721, 5041, 40321,...