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Patterns for the people, by the people. A pattern is a regularity in the world, in human-made design, or in abstract ideas. As such, the elements of a pattern repeat in a predictable manner. A geometric.
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When I look at it at first, it's tempting to say, 3 plus 3 is 6. But then I'm not adding 3 anymore to get from 6 to 12, I'm adding 6. And then to get from 12 to 24, I'm not adding 6 anymore, I added So every time I'm adding twice as much. But maybe an easier pattern might be, another way to go from 3 to 6, isn't to add 3, but to multiply it by 2. So I multiply by 2 to go from 3 to 6, and if I multiply by 2 again, I go from 6 to If I multiply by 2 again, I'll go to The pattern here, it's not adding a fixed amount, it's multiplying each number by a certain amount, by 2 in this case, to get the next number.
So 3 times 2 is 6, 6 times 2 is 12, 12 times 2 is Alright, now let's look at this last one. The first two terms here are the same, 3 and 6.
The first two numbers here. I could say, maybe this is times 2, but then to go from 6 to 9, I'm not multiplying by 2. But maybe I am just adding 3 here. So 3 to 6, I just added 3. Then 6 to 9, I add 3 again, and then 9 to 12, I add 3 again. So this one actually does look like I'm just adding 3 every time. The whole point here is to see, is there something I can do, can I do the same something over and over again to get from one number to the next number in a sequence like this?
What you want to make sure is even if you think you know how to go from the first number to the second number, you've got to make sure that that same way works to go from the second number to the third number, and the third number to the fourth number. But here we figured it out. In this first set of numbers, we just add 21 every time. This one we multiply by 2 every time. This one we add 3 every time.
Math patterns 1. Up Next.