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The number of a regularly arranged column: - 1,3, - 5,7, - 9,... What formula do you think can be used to express each of its terms?
The n-th power of an equal to minus 1 multiplied by (2n-1)
an=（-1)^n （2n-1）
RELATED INFORMATIONS
- 1. 1 + 2 = 3 = 1 * 3 4 + 4 = 8 = 2 * 4 9 + 6 = 15 = 3 * 5 16 + 8 = 24 = 4 * 6 the law is expressed by the formula containing n
- 2. -1,2, - 4,8, - 16,32. According to the law, find the nth number (expressed by the formula containing n) Calculate the following two groups of formulas: (3 × 5) square and 3 × 5 square, [(- 2) × 3] square, and (- 2) square × 3 square. Are the results of each group of two formulas the same? (2) think about what the third power of (AB) equals? (3) guess what the n power of (AB) equals when n is a positive integer? If a = 25 and B = - 3, what is the last digit of a to the power of 2003 and B to the power of 2004?
- 3. -1,2, - 4,8, - 16,32. According to the law, how can the nth number be expressed by the formula?
- 4. 1, - 2,3, - 4,5, - 6,7, - 8,9, - 10,11 what are the rules of the group of numbers? Use a formula to express each number
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- 8. 11 * 10 and 1 / 11, simple formula
- 9. When asked about the mathematical formula, 5 out of 7-5 out of 7 + 8 out of 17 + 9 out of 17
- 10. How to work out the formula for the problem of 4 / 7 of 2 / 5
- 11. Ask: there is a mathematical symbol *, so that the following formula holds: 2 * 4 = 8,5 * 3 = 13,3 * 5 = 11,9 * 7 = 25, then 7 * 3 =?
- 12. There is a mathematical operation symbol "0", which makes the following formula true: 12023 = 36, 45079 = 1145, 56017 = 642. Find the value of 311045
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- 14. We define a * b = AB-1 and calculate the value of 5 / 3 * 2=_________
- 15. Mathematics in the newspaper Specify an operation, a * b = AB / A + B, and calculate the value of 2 * (- 3) 2 * (- 3) = 6. I can do that, too. But the front a * b = AB / A + B,
- 16. 1.25 times 0.8 times 4 times 2.5 (simple formula)
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- 18. Fill in 1 / 2, 1 / 3, 1 / 6 in each formula to make the equation hold. (fraction + fraction) / fraction = 1
- 19. If the height of a cone does not change and the radius of its bottom increases by one third, how much does the volume increase? Don't be wrong,
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