1/2-1/3)+(1/3-1/4)+(1/4-1/5)+ ……+(1/19-1/20)的第二项-1/3与第三项+1/3抵消为0,依此类推,只剩下头尾1/2和-1/20,所以(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+ ……+(1/19-1/20=1/2-1/20=9/20
(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+ ……+(1/19-1/20)的答案
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1/2*1/3+1/3*1/4+1/4*1/5.+1/18*1/19+1/19*1/20
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(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/19-1/20)=
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1/2×3+1/3*4+1/4*5+.+1/19*20=?
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1/3+1/(2*4)+1/(3*5)+1/(4+6).+1/(19*21)+1/(20*22)
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计算:|[1/3]-[1/4]|+|[1/4]-[1/5]|+…+|[1/19]-[1/20]|.
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|1/3—1/4|+|1/4—1/5|+……+|1/19—1/20|+=?怎么计算?
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|1/3-1/4|+|1/4-1/5|+……+|1/20-1/19|怎么算?