Question: 58
(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iii)
D. (iv)E. None of the other choices is correct
Find a recursive definition for the set
S = {(a, b) a, b are positive integers and a+b is an even number}
(i) (1, 1) ∈ S. If (a, b) ∈ S then (a+2,b+2)\in S
(ii) (1, 1) S. If (a, b) ∈ S then (a,b+2)\in S , (a+2,b)\in S
(iii) (1, 1) ES. If (a, b) ∈ S then (a,b+2)\in S, (a+2,b)\in S (a+1,b+1)\in S
(iv) (1, 1) ∈ S. If (a, b) es then (a+1,b+1)\in S
