There is a group of numbers in regular order. 2.6.10.14. How to express the nth number in algebraic formula

This is an arithmetic sequence with a tolerance of 4 and a first term of 2
So the nth number = 2 + 4 (n-1) = 4n-2

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1. 1 / 5 + 4 / (1 * 5) = 1,1 / 6 + 4 / (2 * 6) = 1 / 2,1 / 7 + 4 / (3 * 7) = 1 / 3,1 / 8 + 4 / (4 * 8) = 1 / 4
2. (2 + 1) (the square of 2 + 1) (4 of 2 + 1) (8 of 2 + 1) (16 of 2 + 1) (32 of 2 + 1) (64 of 2 + 1) + 1? fast
3. Find the value of: (5 + 1) (the square of 5 + 1) (the square of 5 + 1) (the square of 5 + 1) (the octagon of 5 + 1)
4. (1 + 2 / 1) (square of 1 + 2 / 1) (square of 1 + 2 / 1) (octagonal of 1 + 2 / 1) + pentagonal of 2 / 1 +? Wrong. At the end of the list is + 2's 15 / 1 =?
5. The sum of two plus one multiplied by the square of two plus one multiplied by the square of two plus one multiplied by the square of two plus one multiplied by the square of two plus one multiplied by eight multiplied by two plus one multiplied by 16 multiplied by two plus one multiplied by 32 multiplied by two
6. (square of 2 + 1) (4th power of 2 + 1) (8th power of 2 + 1) (16th power of 2 + 1) =?
7. Write any three digit number to meet the following requirements: 1. The number of hundred is larger than that of one 2. Exchange hundreds and ones, and subtract decimals from large numbers 3. Exchange the hundreds and individual digits of the difference, and add with the difference between the large number and the decimal It turns out to be 1089 every time. Why?
8. [1]1,3,7,13,21. Note that the functional relation between the nth number and N is [] [2] If the average of the first five numbers is 8 and the average of the last five numbers is 10, then the median of the nine numbers is []
9. Seek the master to solve the mathematics problem of the second grade of junior high school Xiao Li bought a kilogram of nugan watermelon in the market at the price of 0.8 yuan per kilogram and sold it in the market. After selling some of the watermelons, all the watermelons were sold out at a price of 0.4 yuan. The relationship between the sales and the kilogram of melons is shown in the figure. Xiao Li just got the solution on QQ and bought a total of 50kg watermelons. The first 40kg sold for 1.6 yuan, and the last 10kg sold for 1.2 yuan The revenue is 76-64 = 12 / 1.2 = 10, that is, 10kg, which is mainly not shown on Baidu 40 + 10 = 50kg 0.8*40+0.4*10 36 yuan
10. It is known that A-B = 2, (A-1) (b-2) < ab (1) Find the value range of A; (2) If a & sup2; + 2Ab + A + B & sup2; - B = 38, find the value of a + B Clear steps are required
11. Given a = 5, find the value of the algebraic formula (A-4) / (a ^ 2-9) divided by 1 / (A-3) multiplied by (a ^ 2 + 2a-3) / (a ^ 2-8a + 16) Given a = 5, find the value of the algebraic formula (A-4) / (a ^ 2-9) divided by 1 / (A-3) multiplied by (a ^ 2 + 6A + 9) / (a ^ 2-8a + 16)
12. Choose any one of 1.2.3.4.5.6.7.8.9, multiply by 9, and then multiply by 123456789. What's the rule
13. A regular string of numbers: 1, - 2,3, - 4,5, - 6 What formula can be used to express each of his terms? (algebraic formula)?
14. The following formulas are given: 32-12 = 8 = 8 × 1, 52-32 = 16 = 8 × 2, 72-52 = 24 = 8 × 3, 92-72 = 32 = 8 × 4 If you look at the above series of formulas, what rules can you find? Express this rule with algebraic formula
15. 1 ^ 2 + 1 = 1 * 2 2 ^ + 2 = 2 * 3 3 ^ 2 + 3 = 3 * 4
16. The following formulas are given: 32-12 = 8 = 8 × 1, 52-32 = 16 = 8 × 2, 72-52 = 24 = 8 × 3, 92-72 = 32 = 8 × 4 If you look at the above series of formulas, what rules can you find? Express this rule with algebraic formula
17. A group of migrant workers participate in the excavation and transportation of soil at the construction site. On average, each of them digs 5 cubic meters or transports 3 cubic meters of soil every day. If 24 people are arranged to dig and transport soil, they should be arranged______ Only when people transport the soil can the excavated soil be carried away in time
18. A group of migrant workers participate in the excavation and transportation of soil at the construction site. On average, each of them digs 5 cubic meters or transports 3 cubic meters of soil every day. If 24 people are arranged to dig and transport soil, they should be arranged______ Only when people transport the soil can the excavated soil be carried away in time
19. A group of migrant workers participate in the excavation and transportation of soil for water conservancy projects. On average, each person digs 5 cubic meters or transports 3 cubic meters of soil every day. If 24 people are arranged to dig and transport soil, it is necessary to A group of migrant workers participate in the excavation and transportation of soil in water conservancy projects. On average, each person digs 5 cubic meters of soil or transports 3 cubic meters of soil every day. If 24 people are arranged to dig and transport soil, they should be arranged____ People dig____ When people transport soil, the excavated soil will be transported away in time Countable system of linear equations of two variables Understand it completely
20. When a farm is building water conservancy, 48 people are sent to complete the work of digging and transporting soil. If each person digs 5 cubic meters of soil or transports 3 cubic meters of soil on average every day, how to allocate the number of people to dig and transport soil so that the excavated soil can be transported away in time?