The first line is 1, the second line is 2, 3, the third line is 4, 5, 6, 7, and the fourth line is 8.9.10.11.12.13.14.15
One number in the first line
Two numbers in the second line
The fourth power of 4 numbers in the third line = 2
The fourth line is the third power of 8 numbers = 2
Number of (n-1) power of line n = 2
RELATED INFORMATIONS
- 1. What is the integral part of 1 / 2 + 1 / 3 + 1 / 4 + 1 / 5 + 1 / 6 + 1 / 7 + 1 / 8 + 1 / 9 + 1 / 10 + 1 / 11 + 1 / 12? Why
- 2. Observe the equations in the following order: 9 × 0 + 3 = 3, 9 × 1 + 4 = 13 Guess: the nth equation (n is a positive integer) should be expressed as?
- 3. Observe the following equation: 9 × 0 + 1 = 19 × 1 + 2 = 119 × 2 + 3 = 219 × 3 + 4 = 319 × 4 + 5 = 41 According to the law reflected in the number table, we guess that the nth equation (n is a positive integer) should be () A. 9(n-1)+n=10(n-1)+1B. 9n+n=(n-1)+1C. 9n+(n-1)=n2-1D. 9n+n+1=10n+1
- 4. How to easily calculate the square of 1.2222 multiplied by 9-1.3333 multiplied by 4?
- 5. Calculate the square division of - 1 by 1 / 9 times (- 2)
- 6. As shown in Figure 1, ab ∥ CD, try to guess the relationship between ∠ bed and ∠ B, ∠ D? Please explain the reason
- 7. As shown in the figure, given ab ∥ CD, guess what is the relationship between ∠ B, ∠ bed, ∠ D in Figure 1, figure 2 and figure 3? Please show their relationship by equation and prove one of them. (1)______ ;(2)______ ;(3)______ .
- 8. Observe the following set of equations 1 + 3 = 2, square 1 + 3 + 5 = 3, square 1 + 3 + 5 + 7 = 4, according to this rule - 1-3-5-7. [2N-1] where n is positive Calculate the result
- 9. The second power of 3 - the second power of 1 = 8 = 8X1, the square of 5 - the square of 3 = 16 = 8x2?
- 10. What does it mean that my parents' birthdays add up to my birthday? Mom 0815 + dad 0216 = me 1031 What's the point of coincidence?
- 11. What holds in the following equation is the square of () a.a-2a-1 = (A-1) and the square of B.A + A + 1 / 4 = (A-1 / 2) C. Square of B - 6b-9 = (B-3) square C. Square of M + 1 / 6m + 1 / 144 = (M + 1 / 12)
- 12. In the formula (a + 1) ^ 2 = a ^ 2 + 2A + 1, when a takes 1, 2, 3 respectively N, the following equation can be obtained: (1 + 1) ^ 2 = 1 ^ 2 + 2 * 1 + 1 (2+1)^2=2^2+2*2+1 (3+1)^2=3^2+2*3+1 …… (n+1)^2=n^2+2*n+1 Using the above formulas, conjecture and prove the summation formula, 1 + 2 + 3 + 4 + +n=____ (expressed by the algebraic expression of n)
- 13. 14. In the formula (a + 1) 2 = A2 + 2A + 1, when a takes 1,2,3 , N, we can get the following n equations (1 + 1) 2 = 12 + 2 × 1 + 1 (1+1)2=12+2×1+1 (2+1)2=22+2×2+1 (3+1)2=32+2×3+1 …… (n+1)2=n2+2×n +1 By adding the left and right sides of these n equations, the summation formula can be derived 1+2+3…… +N = (expressed in an algebraic expression containing n)
- 14. 1 1 1 1 ——+——+——+...+—————= 2X4 4X6 6X8 2008X2010 1/2X4 + 1/4X6 + 1/6X8 + ...+ 1/2008X2010
- 15. There is a class of numbers, 9-1 = 8,16-4 = 12,25-9 = 16,36-16 = 20. Q n is a positive integer, which is expressed as -?
- 16. Observe the following equations: 9-1 = 8,16-4 = 12,25-9 = 16,36-16-20, ', try the equation about n to express the law you found
- 17. Observe the following equations: 9-1 = 8, 16-4 = 12, 25-9 = 16, 36-16 = 20 Let n be a positive integer. The following equation is () A. (n+2)2-n2=4(n+1)B. (n+1)2-(n-1)2=4nC. (n+2)2-n2=4n+1D. (n+2)2-n2=2(n+1)
- 18. 9-1=8;16-4=12;25-9=16;36-16=20;… What laws do these equations reflect among positive integers
- 19. Observation formula 9-1 = 8; 16-4 = 12; 25-9 = 16; 36-16 = 20 These equations reflect some rules between positive integers, If n is a positive integer, the law can be expressed by the formula of n
- 20. In the following formula, if different Chinese characters represent different numbers, and the same Chinese characters represent the same numbers, then "like math" means "like math" The number of digits is () Love math * learn math = learn math well I'm in a hurry