The set of odd natural numbers divisible by 5 is {5, 15, 25, 35, 45, ...}.
This set contains all positive integers that fulfill two conditions: they are odd and they are divisible by 5 (meaning they are multiples of 5). Natural numbers are positive integers (1, 2, 3, ...). An odd number is an integer that is not evenly divisible by 2. Therefore, we are looking for numbers that fit both criteria.
Here's how the set is generated:
- Divisibility by 5: The numbers must be multiples of 5 (5, 10, 15, 20, 25, 30, 35, 40, 45, ...).
- Odd numbers: From the list above, we select only the odd numbers (5, 15, 25, 35, 45, ...).
The set continues infinitely, as there are infinitely many odd multiples of 5.
