BIOLOGYIf G(x) is the generating function for the sequence {a$\square$}, what is the generating function for each of these sequences? a) $0, 0, 0, a_3, a_4, a_5, . . .$ (assuming that terms follow the pattern of all but the first three terms) b) $a_0, 0, a_1, 0, a_2, 0, . . .$ c) $0, 0, 0, 0, a_0, a_1, a_2, . . .$ (assuming that terms follow the pattern of all but the first four terms) d) $a_0, 2a_1, 4a_2, 8a_3, 16a_4, . . . e) 0, a_0, a_1/2, a_2/3, a_3/4, . . . f) a_0, a_0 + a_1, a_0 + a_1 + a_2, a_0 + a_1 + a_2 + a_3, . . .$