3 / 4 of a certain number is smaller than 1 / 2 of it

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• 1. The product of the opposite number of a certain number and 2 is 3 times smaller than that of it No answer, pig! Answer, God!
• 2. Let f (x) = x ^ 2 + X, when x belongs to [n, N + 1], (n belongs to positive integer), the number of all integer values of F (x) is g (n) Let an = (2n ^ 3 + 3N ^ 2) / g (n), n be a positive integer, and then find s (n)
• 3. There is a figure composed of a cube. The first level is one, the second level is three, the third level is five, and the fourth level is seven. How many N levels are there in the fifth level
• 4. Looking for a rule, there is a pile of exactly the same cubes. Counting from top to bottom, the first layer is 1, the second layer is 3, and the third layer is 10 , In the corner there was a pile of identical cube blocks Counting from top to bottom, the first layer is 1, the second layer is 3, and the third layer is 10 When it's five stories, it's a total of 35 blocks Are there any rules?
• 5. A number of square pendulum figures with equal edge length, in the order: from top to bottom, 1 in the first layer, 3 in the second layer, 6 in the third layer, and 4 in the fourth layer A number of square pendulum figures with equal edge length, in the order of top to bottom One in the first layer, three in the second layer, six in the third layer, ten in the fourth layer, and fifteen in the fifth layer. What is the number of cubes in the nth layer? We stipulate that "△" is a new operational symbol. We know that 5 △ 3 = 5 + 6 + 7; 6 △ 2 = 6 + 7, 2 △ 4 = 2 + 3 + 4 + 5, then 3 △ 5= What's after the equal sign? Write out the process and I will score!
• 6. The first layer has one cube, the second layer adds two cubes on the basis of the previous layer, and the third layer adds three cubes on the basis of the second layer. How many cubes are there in the N layer There is one cube in the first layer, two cubes in the second layer and three cubes in the third layer. How many cubes are there in the N layer
• 7. There are 1 cube in the first layer, 3 cubes in the second layer, and 6 cubes in the third layer How many cubes are there in layer N? Expressed by the formula with n
• 8. 1, - 2,3, - 4,5, - 6,7, - 8______
• 9. 1,-2,3,-4,5,-6,7,-8…… What is the number 2004 and the number 2005?
• 10. -1 / 2,2 / 3, - 3 / 4,4 / 5, - 5 / 6,7 / 8... Conjecture the sum of the nth number and the nth plus one number (n is odd)
• 11. Three times of a certain number is two times larger than half of it. If a certain number is y, then the equation is___
• 12. The sum of a number and 3 is the sum of the squares of a number and 2
• 13. 1997 is equal to the sum of the squares of which two numbers
• 14. The square of 19 is equal to the sum or difference of the squares of which two numbers?
• 15. The sum of the squares of a number and 4 is equal to the sum of the squares of the number and 2
• 16. Sum of squares of three consecutive nature books____ Give a reason for the square of a natural number!
• 17. If the sum of squares of one set of opposite sides of a quadrilateral is equal to the sum of squares of another set of opposite sides, If the sum of squares of one set of opposite sides of a quadrilateral is equal to the sum of squares of another set of opposite sides, what is the relationship between its diagonals? Why?
• 18. Cube of 1 + cube of 2 + +Cube of n=
• 19. 1.1 + 2 + 2 square + 2 cube + +2 =? 2. How many sets of integer solutions are there for the equation (square of X - square of y = 1991)? 3. (2x square + X + 1) cube = 6 times of a0x + 5 times of a1x + 4 times of a2x + 3 times of a3x + 2 times of a4x + a5x + A6 Find A0 + A1 + A2 + a3 + A4 + A5 + A6 =? I hope you will understand me
• 20. A round pool can hold 300 cubic meters of water. The height is 4.5 meters. How big is the diameter? Thank you