Question

Multiples of 3

Numbers which leave a remainder 1 on dividing by 3

Number which leave a remainder 2 on dividing by 3

Answer 1

Multiples of 3 are 3, 6, 9, 12, …

So, we get the number sequence as:

3, 6, 9, 12, …

If we add 1 to the multiples of 3, we get numbers which leave their remainder as 1 on being divided by 3. These numbers are (3 + 1), (6 + 1), (9 + 1), (12 + 1), …

So, we get the number sequence as:

4, 7, 10, 13, …

If we add 2 to the multiples of 3, we get numbers which leave their remainder as 2 on being divided by 3.These numbers are (3 + 2), (6 + 2), (9 + 2), (12 + 2), …

So, we get the number sequence as:

5, 8, 11, 14, …