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The first number in the nth row is () and the nth row has () numbers one 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 . one 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 ......................
Is the first number in the first row 1? If 1, then the first number is n ^ 2-2n + 2, there are 2N-1 numbers. You can see that the last number of each row is the square of the number of rows, and the last row is the square of n-1, then the number of numbers in each row is n square minus n-1 square. The first number in each row is the number at the end of the last row plus 1, that is n ^ 2-2n + 2
Number reasoning: what's after 1, 13, 45, 169?
There should be two answers: 799 and 889
Reasoning process:
1x1 = 1, that is: 1
2x2 = 4 = 1 + 3, i.e. 13
3x3 = 9 = 4 + 5, i.e. 45
4x4 = 16 = 1 + 6 + 9, i.e. 169
5x5 = 25 = 7 + 9 + 9 = 8 + 8 + 9, namely: 799 and 889
Because the numbers are arranged from small to large, only these two numbers are taken
Number reasoning: 2,13,40,61, (). What are the numbers in brackets and how to solve the problem?
2 * 6 + 1 = 13
13* 3 + 1 = 40
40* 1.5 + 1 = 61
61*0.75 + 1 = 46.75
The idea is that the multiplier is half of the previous one, plus one
Number reasoning: - 1 / 2,1 / 4,2,2,13 / 2, () how much to fill in brackets
19/4
-1/2+5/2=2 2+9/2=13/2
1/4+7/4=2 2+(11/4)=19/4
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