That which follows.
One particular feature of the sets of rational numbers and real numbers, is that between two consecutive terms, we can find an infinite number of other rational or real numbers, a property that cannot be verified in the sets of whole numbers and integers.
- In the number sequence 1, 2, 4, 8, 16, 32, …, the terms 8 and 16 are consecutive terms.
- In the set of integers or whole numbers, we use n and n + 1 to express two consecutive numbers.
- In a polygon, consecutive vertices are vertices that immediately follow one another as we follow the polygonal line.