Recognizing number pattern examples

We are asked which expression can we use to find the missing number in the pattern. So pause this video and see if you can try this before we do this together. All right, now let's try this together, and the way I would tackle it is I'll try to see, "Hey, can I figure out the pattern between these numbers?" Then I could try to figure out the missing one.

So to go from 36 to 45, it looks like I'm increasing by 9. I add 9, and it looks like to go from 63 to 72, we're adding 9. It's good to make sure that the pattern that you think is happening is happening across all of the numbers that you're seeing. To go from 72 to 81, it looks like you're adding 9. So I'm pretty confident that to go from 45 to this blank number, I have to add 9.

And we see here, indeed, choice B is 45 plus 9. This number here, you don't even have to figure out what it is. Some of you might realize it's 54. But this is just going to be this number plus 9 that's going to go in the blank. So 45 plus 9.

Let's do another example. So here it's a little bit different. It says if the pattern continues, what will be the sixth number in the pattern? Pause this video and try to figure that out.

All right, so first let's figure out the pattern. To go from 2 to 6, it looks like we added 4. Then we are adding 4 again to go from 6 to 10. Then we're adding 4 again to go from 10 to 14. So it seems like we're adding 4 every time. This is the first 1, 2, 3, 4 numbers in the pattern.

So the fifth number in the pattern is going to be 14 plus 4, which is going to be 18. Then the sixth number in the pattern is going to be 18 plus 4, which is 22. And that's what they want; they want the sixth number in the pattern. So 22 is choice D.

Let's do another example here. We're told the table below shows the number of laps Carly ran around the track each day. Which rule describes the pattern shown by the number of laps Carly ran? So like always, pause this video and see if you could work on this.

All right, it seems like every time a day goes by, the number of laps are going up by three. So if you want to figure out the next day, let's say day six, you would add three from day five. So the pattern here is to add three.