3. state the recursive definition (include the initial conditions) for each of the following sequences. (15) (a) (1, 2, 4, 8, 16, 32, 64,…) (b) (0, 2, 6, 12, 20, 30, 42, 56, …) (c) (4, 5, 7, 11, 19, 35, 67, 131, 259,…)