Let S be the subset of the set of ordered pairs of integers
defined recursively by
Basis step: (0, 0) ∈ S.
Recursive step: If (a, b) ∈ S, then (a + 2, b + 3) ∈ S
and (a + 3, b + 2) ∈ S.
a) List the elements of S produced by the first five applications
of the recursive definition.
How do I know which (a,b) pairs to use? I know that it's the first five but I don't know how to get the first five.