SOLVED:Find generating functions for the following sequences. [For example, in the case of the sequence 0,1,3,9,27, …, the answer required is x /(1-3 x), not ∑i=0^∞ 3^i x^i 1 or simply 0 x 3 x^2 9 x^3 ⋯. a) (?), ( b) ( 8 1 ), 2( 8 2 ), 3( 8 3 ), …, 8((8)/(8)) c) 1,-1,1,-1,1,-1, … d) 0,0,0,1,1,1,1,1,1, … e) 0,0,0,6,-6,6,-6,6, … f) 1,0,1,0,1,0,1, … g) 1,2,4,8,16, … b) 0,0,1, a, a^2, a^3, …, a ≠ 0