In this post, I’ll be demonstrating how you can add up all the even numbers from 0 onwards.

**Adding up all the even numbers from 0 to 2:**

In this diagram, we are going to say that n=2. The height of the rectangle is (n+2) and its length is n/2. This means that the area shaded in red, which is in fact equal to all the even numbers from 0 to 2 added up, is:

**Adding up all the even numbers from 0 to 4:**

In this diagram, we are going to say that n=4. The height of the rectangle is (n+2) and its length is n/2. This means that the area shaded in red, which is in fact equal to all the even numbers from 0 to 4 added up, is:

**Adding up all the even numbers from 0 to 6:**

In this diagram, we are going to say that n=6. The height of the rectangle is (n+2) and its length is n/2. This means that the area shaded in red, which is in fact equal to all the even numbers from 0 to 6 added up, is:

**Adding up all the even numbers from 0 to 8:**

In this diagram, we are going to say that n=8. The height of the rectangle is (n+2) and its length is n/2. This means that the area shaded in red, which is in fact equal to all the even numbers from 0 to 8 added up, is:

**What we’ve discovered:**

We’ve discovered that a simple formula can be used to add up all the even numbers from 0 to “n”, whereby “n” is an even number. This formula is:

**Alternative method:**

There is also an alternative formula you can use to add up even numbers, from 0 onwards. That is: