Consider the set of positive integers.
Each integer can be definitively placed either above the line or below it.
Given the initial collection of placements below, what are
- The next two numbers in the series that should appear above the line, and
- The next two numbers in the series that should appear below the line?
Why?
1 3 5 7 8 9 10 11 ... --------------------- 2 4 6 30 32 ...