30 if gx is the generating function for the sequence ak what is the generating function for each of these se quences a 2a0 2a1 2a2 2a3 b 0 a0 41 42 43 assuming that terms follow the pattern 88046

If G(x) is the generating function for the sequence {ak} what is the generating function for each of these sequences? a) 0,0,0, a3, a4, a5, …(assuming that terms follow the pattern of all but the first three terms) b) a0, 0, a1, 0, a2, 0, …c) 0,0,0,0, a0, a1, a2, …(assuming that terms follow the pattern of all but the first four terms) d) a0, 2 a1, 4 a2, 8 a3, 16 a4, …e) 0, a0, a1 / 2, a2 / 3, a3 / 4, …[ Hint: Calculus required here. ] f) a0, a0 a1, a0 a1 a2, a0 a1 a2 a3, … | Numerade

SEQUENCE Function