The first line is 1. The second line is 2, 3 and 4. The third line is 3, 4, 5, 6 and 7. The fourth line is 4, 5, 6, 7, 8, 9 and 10. Q: what's the sum of line 200?

law:
The first number in line n starts from n, with a total of 2N-1 numbers
Sum of the nth row = n + (n + 1) + (n + 2) +... + (n + 2n-2)
=n(2n-1) +(1+2+...+2n-2)
=n(2n-1)+(2n-2)(2n-1)/2
=4n²-4n+1
=This method can calculate the sum of any row
The sum of line 200 = (2 × 200-1) &# 178; = 399 & # 178; = 159201

RELATED INFORMATIONS

1. Divide positive even numbers into arrays: (2), (4,6), (8,10.12), (14.16.18.20) What is the sum of the numbers in group n?
2. Observe the numbers - 1, 2, 7, 14, 23, 34 According to this law, the nth number is______ ．
3. Observe the numbers - 1, 2, 7, 14, 23, 34 According to this law, the nth number is______ ．
4. Fill in the number of safety rules: 1 / 2, 8 / 13, 21 / 34, (), (), ()
5. Is the result of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 +. + 2007 odd or even
6. The five numbers are 24:00: 1, 13 7 13 8 29 2, 17 6 30 23 26 3, 14 29 3 6 19 4, 7 19 14 17 21 5, 19 21 23 15 11
7. According to the following rule, form a number table with positive integers, then which row and number is 2008 in the table 1；2,3；4,5,6；7,8,9,10；………………
8. What is the fifth number in line 10? What is the fifth number in line 200? one 2、3 4、5、6 7、8、9、10 11、12、13、14、15 ……
9. Observe the number table and fill in the "mouth" in the number table one 1 -1 1 -2 1 1 -3 3 -1 1 -4 6 -4 1 1-5 port-10 5-1 1-6 ports-20 15-6 1 Why? Why do you fill in this way?
10. A number is not only a multiple of 3, but also a multiple of 5 and 7. The minimum number is ()
11. Arrange the positive integers into the following table according to certain rules: the first line 1, the second line 2 3, the third line 4 5 6, the fourth line 7 8 9 10. What's the 12th in line 2002?
12. Observe the following table: the first line 1, the second line 1 2 1, the third line 1 2 4 2 1, the fourth line 1 2 4 8 4 2 1 According to the above arrangement rule, the sum of all numbers in the nth row in the sequence table is_________ . First line 1 Second line 1 2 1 The third line 1 2 4 2 1 The fourth line 1 2 4 8 4 2 1
13. The first line is 1, the second line is 2, 3, 4, the third line is 5, 6, 7, 8.9, and the fourth line is 10.11.12, 13, 14, 15, 16
14. Natural numbers are arranged in the following table according to certain rules. What is the fifth book on line 60? one 3 5 7 9 11 13 15 17 …… Want to have the train of thought that solves a problem and calculate formula! Had better say of compare easy to understand
15. Arrange the natural numbers starting from 1 in the following order one 2 3 4 5 6 7 8 9 10 The first number in line n is The last number of N rows is The sum of the numbers in line n is
16. The natural numbers of 1-299 are arranged as follows 1 2 5 10 17 26 37... 4 3 6 11 18 27 38... 9 8 7 12 19 28 39... Which numbers are 5 and 13? Who and whose numbers are 100? What are the rules?
17. Natural numbers are arranged as follows: one 2 3 4 5 6 7 8 9 …… …… What is the sum of the four numbers (up, down, left and right) adjacent to 2006?
18. Arrange the natural numbers according to the law 1 2 5 10…… 4 3 6 11…… 9 8 7 12…… 16 15 14 13…… …… …… ………… 1. Find the number of the 10th row from the top and the 13th column from the left 2. Which row should the number 127 start from and which column should it start from the left? 3. Which row should the number 2000 be in and which column should it be from the left? 1 2 5 10…… 4 3 6 11…… 9 8 7 12…… 16 15 14 13…… …… …… …………
19. Arrange natural numbers according to the following rules. Where is 2009? 1 1 column 2 column 3 column 4 column 1 line 1 2 9 10 2 lines 4 3 8 11 3 lines 5 6 7 12 Four lines 16 15 14 13 5 lines 17 ... There are four options A. Line 17, column 44 B. line 18, column 45 C. line 18, column 46 D. line 19, column 48
20. The natural numbers of 1, 2, 3 and 4. N are grouped according to the following rules: the first group: (1) the second group: (2, 3) the third group; (4, 5, 6) the fourth group: (7, 8, 9)