Observe the following column of numbers: 1 / 2, 1 / 6, 1 / 12, please find out the rule of arrangement and fill in the blanks according to this rule. (1) the ninth number is () the 14th number is
According to the question, 1 / 2 = 1 / (1 * 2), 1 / 6 = 1 / (2 * 3), 1 / 12 = 1 / (3 * 4),
So the ninth number is 1 / (9 * 10) = 1 / 90, and the fourteenth number is 1 / (14 * 15) = 1 / 210
RELATED INFORMATIONS
- 1. Observe the arrangement of the following numbers 1 / 1 1 / 2 2 / 1 1 / 3 2 / 2 3 / 1 1 / 4 2 / 3 3 / 2 4 / 1 1 / 5 The rule is that the denominator is one 2,1 3,2,1 4,3,2,1 . Molecule: 1 1,2 1,2,3 1,2,3,4 . 1. But the m-th number from the left is f (m). When f (m) is 2 / 2001, find the product of the value of M and the m-th number 2. In this column of numbers, the number without reduction and denominator 2 is denoted as C, and the one digit after it is denoted as D. whether there are these two numbers C and D, so that CD = 2 001 000. If there are, find out C and D. if not, please explain the reason
- 2. Here is a set of numbers arranged regularly: 1,3 / 4,2 / 3,5 / 8,3 / 5
- 3. 1,3/4,2/3,5/8,3/5,…… According to a certain rule, find the 100th number___
- 4. A series of numbers are arranged according to the following rule: 1,3,5,2,4,6,3,5,7,4,6,8,5,7,9... From the first number, what is the sum of the first 100 numbers?
- 5. Arrange the positive integers as follows: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. What's the 25th number on line 100? one 2、3 4、5、6 7、8、9、10 11、12、13、14、15
- 6. There are a series of true scores, arranged according to the following rules: 1 / 2, 1 / 3, 2 / 3, 1 / 4 There are a series of true fractions, arranged according to the following rules: 1 / 2,1 / 3,2 / 3,1 / 4,2 / 4,3 / 4 What is the 100th score?
- 7. A series of numbers are arranged according to the rule "1,2,3,2,3,4,3,4,5 ~ ~ what is the sum of the first 100 numbers?
- 8. According to a certain rule, arrange the number of the string: 1 / 1, 1 / 2, 2 / 2, 1 / 3, 2 / 3, 3 / 3, 1 / 4, 2 / 4, 3 / 4, 4 / 4.1/100, 2 / 100.. 100 / 100 Arrange the numbers according to a certain rule: 1 / 1, 1 / 2, 2 / 2, 1 / 3, 2 / 3, 3 / 3, 1 / 4, 2 / 4, 3 / 4, 4 / 4.1/100, 2 / 100, 3 / 100.. 99 / 100, 100 / 100. Please calculate the sum of these numbers?
- 9. There is a string of numbers, arranged in the following order: 1 / 2 - 1 / 3 2 / 3 - 1 / 4 2 / 4 - 3 / 4 1 / 5 - 2 / 5 3 / 5 - 4 / 5 There is a string of numbers, arranged in the following order: 1 / 2 - 1 / 3 2 / 3 - 1 / 4 2 / 4 - 3 / 4 1 / 5 - 2 / 5 3 / 5 - 4 / 5
- 10. A series of numbers are arranged according to the following rules: 1, 2, 3, 2, 3, 4, 3, 4, 5, 4, 5, 5, 6, 6, 7 Ask for detailed explanation
- 11. According to a certain rule, the number of a column is 1 / 2, 1 / 3, 1 / 10, 1 / 15, 1 / 26, 1 / 35. According to this rule, what is the seventh number in this column
- 12. According to a certain rule, it is 1 / 2, 1 / 3, 1 / 10, 1 / 15, 1 / 26, 1 / 35. According to this rule, the seventh number in this column is
- 13. Observe the numbers 1, - 2, - 3,4, - 5,6 in the following column. According to the form shown in the figure, 2013 is the number () on the left of line ()? -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16
- 14. The first number is 64, the second number is 32, the third number is 16, and the fourth number is 8. What is the number n?
- 15. 1、 - 2, 4, - 8, 16, - 32 2、 - 4, 8, - 16, 32, - 64 Write the nth number of each group and calculate the first eight of each group 1、 - 2, 4, - 8, 16, - 32 2、 - 4, 8, - 16, 32, - 64 Write the nth number of each group and calculate the sum of the first eight in each group
- 16. 2. - 4, 8, - 16, 32, - 64, 128. What is the nth number? Why?
- 17. 2,4,8,16,32,64,128…… How to express the nth number of this group of numbers? Good answer plus points (correct question)
- 18. In the rectangular coordinate system, if the coordinates of a and B are known as a (0,1) and B (2,3) respectively, M is a point on the x-axis, and Ma + MB is the smallest, then the coordinates of M are______ .
- 19. Now there is a column of numbers 2, - 4,8, - 16,32, - 64128 What is the nth number?
- 20. If lgx + lgY = 2, find the minimum value of 1 / x + 1 / y (1 / x) is one in X, and (1 / y) is one in y