For each of these lists of integers, provide a simple formula orrule that generates the terms of an integer sequence that beginswith the given list. Assuming that your formula or rule is correct, determine the next three terms of the sequence.

b) 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, ...
c) 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011,...
d) 1, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, ...
f) 1, 3, 15, 105, 945, 10395, 135135, 2027025, 34459425,...
g) 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, ...