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Arrange the positive integers according to the rule shown in the figure. If the ordered real number pair (m, n) is used to represent the m-th row and the n-th number from left to right, for example, (4,3) represents the real number 8, Connect The ordered real pair representing real number 2009 is (- -) 1 -------- first row 3.2 -- second row 4 5 6 -------- third row 10 9 8 7 -- the third row If you want to give me rules, I'll give you extra points
Odd rows are left to right and even rows are right to left
（1+62）*62/2
If the ordered real number pair (n, m) represents the n-th row and the m-th number from left to right, then the ordered real number pair of real number 17 is
1 -- first row
3 2 --- second row
4 5 6 - third row
10 9 8 7 --- fourth row
.
（6,5）
Arrange the positive integers according to the rule shown in the figure. If the n-th row is represented by an ordered real number (n, m), and the m-th number from left to right, for example, (4,3) represents a real number 9,
Then the real number represented by (7,2) is_
1. First row
Second row
The third row
7 8 9 10.
It's better to have a process
I didn't learn this method in junior high school,
General formula (n, m) = (n-1) n / 2 + M
(7,2)=23
The general formula is based on the summation formula of arithmetic sequence
Before the first number of each row, there are so many numbers added from 1 to the number of rows - 1, so there is (n-1) * n / 2
(sum of arithmetic sequence = (first term + last term) * number of terms / 2)
Arrange the positive integers according to the rule shown in the figure. If the ordinal number pair (n, m) is used to represent the n-th row, and the m-th number from left to right, such as (4, 3) to represent the number 9, then what is the number represented by (7, 2)?
According to the law revealed in the figure, 1 + 2 + 3 + 4 + 5 + 6 = 21, so row 7; from left to right, from small to large, starting from 22, the second should be 23, so (7,2) means 23. Answer: (7,2) means 23
RELATED INFORMATIONS
- 1. Arrange the positive integers according to the rule shown in the figure. If the ordinal number pair (m, n) is used to represent the m-th row from top to bottom and the n-th number from left to right, for example, (4, 2) is used to represent the integer 8. Then (63, 56) is used to represent the number______ ．
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- 11. Arrange the positive integers according to the rule shown in the figure. If the ordered real number pair (n, m) represents the nth row and the m-th number from left to right, such as (4, 2) represents the real number 9, then the ordered real number pair of real number 17 is______ ．
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