1. ## inductive definition

Find an inductive definition for each set S

a. {0,2,4,6,8...}
b. {...-7,-4,-1,2,5,8...}
c. {1,3,7,15,31,63...}
d. {3,4,5,8,9,12,16,17...}

2. Hi, cj's mom.
If I understand You correctly:

a. xi = i * 2 | i = 0, inf
b. xi = x(i-1) + 3 | i = -inf, inf
(i-1) - index
c. x0 = 1
xi = 2*x(i-1) + 1
(i-1) - index
d. I think here is not enough members to define set. Have You some another members?