Give the list of elements and write in the form with condition the following sets:

the set of natural numbers that are multiples of 3

To generate the set of natural numbers that are multiples of 3, we start with the first natural number that is a multiple of 3 and continue adding 3 to that number to get the subsequent multiples.

Here's the list of elements in the set of natural numbers that are multiples of 3:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

In set notation, we can represent this set as:

{ x | x is a natural number and x is divisible by 3 }

Alternatively, we can also represent it using set-builder notation:

{ 3n | n is a natural number }

So, the set of natural numbers that are multiples of 3 can be expressed as:

{ 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ... } or { x | x is a natural number and x is divisible by 3 } or { 3n | n is a natural number }.

{3,6,9,...}