Current location - Training Enrollment Network - Mathematics courses - 1, 1 1, 12 1, 133 1, 1464 1 all have pyramid shapes. What are the three rows below?
1, 1 1, 12 1, 133 1, 1464 1 all have pyramid shapes. What are the three rows below?
Hello, this is actually the famous Yang Hui Triangle in the history of ancient mathematics in China, more than 400 years earlier than the Europeans.

The rule of Yang Hui Triangle is that the number of numbers in each row is equal to the number of rows (that is, one number in the first row, two numbers in the second row, three numbers in the third row, and so on), and each number is equal to the sum of the numbers on its two shoulders.

For example, the third and fourth lines are:

1,2, 1

1,3,3, 1

The first number in the fourth line is 1, the left shoulder has no number, and the right shoulder is 1, so the sum is 1.

The second number 3 in the fourth row, its left shoulder is 1, its right shoulder is 2, and the sum is 3.

The third number in the fourth row is 3, the left shoulder is 2, the right shoulder is 1, and the sum is also 3.

The fourth number in the fourth row is 1, which is 1 on his left shoulder, not on his right shoulder, and 1.

So the fourth line is 1, 3,3, 1.

According to the above laws, it is not difficult to deduce the following three lines:

Line 6: 1, 5, 10, 10, 5, 1.

Line 7: 1, 6, 1 5,20,15,6,1.

Line 8: 1, 7,2 1, 35,35,21,7,1.

Having said that, I have also said it in detail. I hope it helps you. I hope it can be adopted ~