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The second power of 3 - the second power of 1 = 8 = 8X1, the square of 5 - the square of 3 = 16 = 8x2?
Square of (n + 2) - (n) = 8x (n-1)
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- 2. What is the theorem / conjecture that the cube of any natural number a is equal to the sum of a continuous odd numbers? I want to know its name Has any textbook mentioned this theorem If yes, please tell me the publishing house, grade and page number
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- 8. One two fourths equals four four eighths equals six sixths, right? Please correct? How do you understand this? Please explain the basic principle and its formula?
- 9. 4.2 to 1 is a quarter to eight to five
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- 12. 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）______ ．
- 13. As shown in Figure 1, ab ∥ CD, try to guess the relationship between ∠ bed and ∠ B, ∠ D? Please explain the reason
- 14. Calculate the square division of - 1 by 1 / 9 times (- 2)
- 15. How to easily calculate the square of 1.2222 multiplied by 9-1.3333 multiplied by 4?
- 16. 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
- 17. 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?
- 18. 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
- 19. 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
- 20. 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)