1.2.4.7. ().16.22 write the number according to the rule
The second number is larger than the first number by 1,1 + 1 = 2
The third number is 2 larger than the second number, 2 + 2 = 4
The fourth number is larger than the third number by 3,4 + 3 = 7
The fifth number is larger than the fourth number by 4,7 + 4 = (11)
The sixth number is 5 larger than the fifth number, 11 + 5 = 16
The seventh number is larger than the sixth number by 6,16 + 6 = 22
RELATED INFORMATIONS
- 1. Observe this series of regular numbers: 1 / 2, 1 / 6, 1 / 12, 1 / 30, 1 / 42, and know what the nth number is according to the law
- 2. Observe the following equations, find the laws from them, and use them to find the values of the following equations Look at the following equations: 1/√2+1=√2-1,1/√3-√2,1/√4-√3,1/√5+√4=√5-√4,… Find the laws from the above equations and use them to find the values of the following equations 1/√2+1+1/√3+√2+1/√4+√3+…… +1/√2013+√2012
- 3. 32-12=8×1;52-32=8×2;72-52=8×3… Observe the above formula, what law can you find? Please use algebra to express, and use this law to calculate the value of 20012-19992
- 4. Carefully observe the rules of the following group of formulas and write two such formulas: 99-27 = 72, 88-35 = 53, 77-25 = 52, 55-23 = 32
- 5. Observe the following three groups of formulas, find the rules and fill in the blanks 1 × 2 = 2 × 3 of 3, 1 × 2 + 2 × 3 = 2 × 3 × 4 of 3, 1 × 2 + 2 × 3 + 3 × 4 = 3 × 4 × 5 of 3 (1) 1 × 2 + 2 × 3 + 3 × 4 + 4 × 5 = 4 × 5 × () (2) 1 × 2 + 2 × 3 + 3 × 4 + 4 × 5 + 5 × 6 = () × () × () (3)1×2+2×3+3×4+… +N × (n + 1) = () × () × () (4) 1 × (1 × 2 + 2 × 3 + 3 × 4 +) + 199 × 200) = (this one needs to be written)
- 6. Observe each of the following formulas and fill in the blanks according to the rules you find 4*5=20,3*6=18 5*6=30,4*7=28 6*7=42,5*8=40 . If 1222 * 1223 = 1494506, then 1221 * 1224 = () Write the relationship
- 7. 2 + 4 = 2 × 3 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 2 + 4 + 6 = 3 × 42 + 4 + 6 + 8 = 4 × 5 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 2 + 4 + 6 + 8 + 10 + +100=______ ×______ .
- 8. First observe the following formula, fill in the blanks and summarize the rules 3²-1²=8×1, 5²-3²=8×2; Then (1) 7 & sup2; - 5 & sup2; = 8 × (3) (2)9²-(7)²=8×4 (3)(11)²-9²=8×5 Sum up the law____________________________________ .
- 9. Observe the following formula and fill in the blanks 1.07÷9=0.118 1111.04÷9=﹙ ﹚ 11.06÷91.228 ﹙ ﹚÷9=﹙ ﹚ 111.05÷9=12.338 ﹙ ﹚÷9=﹙ ﹚
- 10. Looking at the following formulas, what rules do you find? ①16×14=224=1×(1+1)×100+6×4 ②23×27=621=2×(2+1)×100+3×7 ③32×38=1216=3×(3+1)×100+2×8 Simple description of the above found rules: mainly text and letters
- 11. A column of numbers 0, negative 2,6, negative 12,20, negative 30,42, etc. write the eighth number and the nth number according to this rule Ask for answers
- 12. Observe the following regular numbers: 1 / 2, 1 / 6, 1 / 12, 1 / 20, 1 / 30, 1 / 42... What is the seventh? 1 / 380? What is the nth?
- 13. Observe the following regular numbers: 1 / 2, 1 / 6, 1 / 12, 1 / 20, 1 / 30, 1 / 42... Write the seventh and N numbers according to the law
- 14. Observe the following list of regular numbers: 1 / 2, 1 / 6, 1 / 12, 1 / 30, 1 / 42 (2) 1 / 272 is the number one in the column_ individual (3) Calculate the sum of the first 20 numbers
- 15. 1/2,1/6,1/12,1/30,1/42…… Find the rule, the nth number is () 1 / 132 is the number
- 16. 1 / 2, 1 / 6, 1 / 12, 1 / 20, 1 / 30, 1 / 42. According to the law, the seventh number is. The nth number is. 1 / 132 is the number
- 17. Formula calculation: 42 is 1 / 6 more than bracket
- 18. The law calculation of 1 / 12 + 1 / 20 + 1 / 30 + 1 / 42 + 1 / 56
- 19. Simple calculation 90.909-9.09 + 90.9
- 20. Ask a math question, the question is like this. 90.2 △ 75.1, find the quotient to you and check! Find the formula! I think it's our usual algorithm, which is used to eliminate the decimal point of the number! It's 75.1 △ 90.2