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Observe the following formulas: 1 + 2 + 1 = 4, 1 + 2 + 3 + 2 + 1 = 9, 1 + 2 + 3 + 4 + 3 + 2 + 1 = 16, 1 + 2 + 3 + 4 + 5 + 4 + 3 + 2 + 1 = 25 According to the rule you found, please write the result of the following formula directly: 1 + 2 + 3 + +99+100+99+… +3+2+1=______ ．
According to the observation, the result is equal to the square of the middle number +99+100+99+… +3+2+1=1002=10000．
RELATED INFORMATIONS
- 1. 1 + 2 + 1 = 4,1 + 2 + 3 + 2 + 1 = 9,1 + 2 + 3 + 4 + 3 + 2 + 1 = 16, calculate (1) 1 + 2 + 3 + +99+100＝?
- 2. ）Square of 1 + 2 + 1 = 2 = 4, square of 1 + 2 + 3 + 2 + 1 = 3 = 9, square of 1 + 2 + 3 + 4 + 3 + 2 + 1 = 4 = 16, find 1 + 2 + 3 +... + 99 + 100 + 99 +... + 3 + 2 + 1=
- 3. Calculate the value of 2 ^ 99 + 2 ^ 98 + 2 ^ 97 +... + 2 + 1? You can help me solve the problem: Calculate: 3 ^ 99 + 3 ^ 98 + 3 ^ 97 +... + 3 + 1? Calculate (x-1) according to the above rule (x ^ 99 + x ^ 98 + x ^ 97 +... + X + 1) thank you... I'm in trouble---
- 4. 1. Calculate 100 × 99-99 × 98 + 98 × 97-97 × 96 + ＋4×3－3×2＋2×1＝（ ）. 2. Xiaoqiang takes part in the "2010 Chen Shengshen mathematics week" activity from the walking path examination room at home. If he walks 50 meters per minute, he will be late To 3 minutes, if you walk 60 meters per minute, you can get to the examination room 2 minutes in advance. So the distance from Xiaoqiang's home to school It's () meters
- 5. 0.125 times 32 times 25! Simple calculation!
- 6. 32 times 125 simple operation, first come first served!
- 7. 468 * 1001 simple calculation
- 8. (3 / 8 minus 0.125) times 4 / 13
- 9. What is the simple calculation of 8.4 times 99 plus 8.4
- 10. What is the sum of 1 times 2 plus 3 times 4 plus 5 times 6 plus 7 times 8 plus 9 times 10 plus. 99 times 100? It's a simple operation
- 11. 1+2+3…… +99+100+99+…… +3 + 2 + 1 =? Find the law and work out the result
- 12. 1,2 of 1,2 of 3,2, find the law
- 13. 500, 250, 166 and 2 / 3, (), 100, 83 and 1 / 3
- 14. (-1+1/2)*(-1+1/3).*(-1+1/100)
- 15. 1 + 2 + 3 +. + 100 = how much
- 16. 1+2+2+3+3+3+4+4+4+4+.+100+100+100.
- 17. Look at the picture, find the rule, fill in the number at the question mark, why?
- 18. Planning cost method, material cost variance rate calculation Suppose a company has 10 tons of materials in stock at the beginning of the period, the planned cost is 17800 yuan, and the material cost difference is 250 yuan; the total cost of purchasing 10 tons of materials this month is 17600 yuan The difference rate of material cost in this month is as follows: (250-200)/(17800+17800)*100%=0.14% The above is an example Is the molecule (250-200) and why not (250 + 200)?
- 19. 17 cm = () m, using scientific notation, using a simpler method
- 20. 1 and 2 are represented by scientific notation, 3, 4, 5 are calculated and the results are represented by scientific notation (1)20X50= (2) 2 to the 10th power multiplied by 5 to the 11th power= (3) (1.2 × 10 to the fifth power) × (5 × 10 to the square)= (4) The square of 25 is the fourth power of 4= (5) The square of 3 × the sixth power of 2 × the eighth power of 5=