Part 4/9:
- 0, 1, 2, 3, 4, 5, 6, 7, ...
The ellipsis ("...") indicates that the sequence continues infinitely. Furthermore, we can break this sequence down into specific subgroupings, such as even and odd natural numbers.
Even natural numbers are defined as those divisible by 2:
0, 2, 4, 6, 8, ...
Conversely, odd natural numbers are those not divisible by 2:
1, 3, 5, 7, 9, ...
While the sequence of natural numbers is infinite, the subsequences of even and odd numbers can also be examined using limits, showing the subsets formed from this broader collection.