Increment theorem

Okay kiddo, today we're going to learn about the increment theorem. It's a big and fancy name, but it's actually quite simple to understand.

Let's say you have a number line like this:

0-----1-----2-----3-----4-----5

Now let's say you have a starting number, like 2. We'll call this our "base" number.

The increment theorem says that if we add the same number to our base number, over and over again, we will end up with a pattern. This pattern will be the same distance apart each time.

Let's try it out. If we add 1 to our base number of 2, we get 3.

2 + 1 = 3

If we add 1 again, we get 4.

3 + 1 = 4

And if we add 1 more time, we get 5.

4 + 1 = 5

See how each time we added 1, we ended up with a number that was 1 more than the previous number? This is an example of the increment theorem.

The same thing will happen if we add any other number to our base number. Let's try adding 2 this time:

2 + 2 = 4

4 + 2 = 6

6 + 2 = 8

See how each time we added 2, we ended up with a number that was 2 more than the previous number?

So, in summary, the increment theorem says that if we add the same number to a base number over and over again, we will end up with a pattern where each number is the same distance apart from the previous number. It's like climbing up a ladder where each step is the same size as the one before it. Pretty cool, right?