The non-zero natural number is arranged in the form of the bottom. In this arrangement, what row and column is 195? Put the non-zero natural number in the form of the bottom. In this arrangement, what column and row is 195 in? 1 2 6 7 15 16… 3 5 8 14 17… 4 9 13 18… 10 12 19… 11 20… 21…

The non-zero natural number is arranged in the form of the bottom. In this arrangement, what row and column is 195? Put the non-zero natural number in the form of the bottom. In this arrangement, what column and row is 195 in? 1 2 6 7 15 16… 3 5 8 14 17… 4 9 13 18… 10 12 19… 11 20… 21…

1. Arrange the natural numbers in the following form, in which row and column is 195?
1 2 6 7 15 16....
3 5 8 14 17.
4 9 13 18 ...
10 12 19 ...
11 20..
21..
..
The first solution is as follows
Squint, every one of them
The first line has one number: one
Two numbers in the second line: 3,2
Three numbers in the third line, 4, 5, 6
.
The total number is 1 + 2 + 3 +
Odd diagonal, from bottom left to top right
Even diagonal, from top right to bottom left
Each number, its position, the sum of the number of rows and columns is equal to the number of diagonal rows plus 1
For example: 8, in the second row, the third column, it is in the diagonal row, is the second + 3-1 = 4 row
Grade 6, should have learned the summation of continuous natural numbers
1+2+3+.+n=n(n+1)/2
195×2=390
19*20=380
20*21=420
three hundred and eighty

Put the non-zero natural numbers in the following form. In this arrangement, what row and column is 1995 in?
1 2 6 7 15 16……
3 5 8 14 17……
4 9 13 18……
10 12 19……
11 20……
21……
……

If we call an oblique line "oblique line", then the first "oblique line" has only one number, the second "oblique line" has two numbers, and the third "oblique line" has three numbers And so on, and the sum of the number of rows and columns of each number of the first "diagonal" is 2, the sum of the number of rows and columns of each number of the second "diagonal" is 3, and the sum of the number of rows and columns of each number of the third "diagonal" is 3

Arrange the natural numbers according to the following rules, then what are the rows and columns of 2008
The first column, the second column, the third column, the fourth column, the fifth column... The first row 12 9 10... The second row 4 3 8 11... The third row 5 6 7 12... The fourth row 16 15 14 13... The fifth row 17

18 rows and 45 columns through observation, we can find that the first number of even rows is the square of rows. For example, the first number of the second row and the fourth row is the square of 2 and 4 respectively. Similarly, the first number of odd columns is also the square of columns. By estimation, we can know that 2008 is between the square of 44 and 45, and then we can infer the position of 2008 by analogy with the arrangement of known numbers

If the natural numbers are arranged according to the rule as shown in the figure, the position of 2008 is the third_____ Line number_____ Column

Because according to the rule 2008 = 45 × 45-17, the square of the odd number is in the first row, and then moving 17 positions to 2025, so 2008 is in the 18th row and the 45th column