www.ypnh.net > 1*1/2+1/2*1/3+1/3*1/4……+1/2017=

1*1/2+1/2*1/3+1/3*1/4……+1/2017=

1*1/2+1/2*1/3+1/3*1/4……+1/2017*1/2018 =1-1/2+1/2-1/3+1/3-1/4+……+1/2017-1/2018 =1-1/2018 =2017/2018

1*1/2+1/2*1/3+1/3*1/4……+1/2017*1/2018 =1-1/2+1/2-1/3+1/3-1/4+……+1/2017-1/2018 =1-1/2018 =2017/2018

=1-1/2+1/2-1/3+1/3-1/4+...+1/2016-1/2017 =1-1/2017 =2016/2017

解: 以1为分母的数字,共有1个; 以2为分母的数字,共有1个; 以3为分母的数字,共有2个; 以4为分母的数字,共有3个; …… 以n为分母的数字,共有n个。 由1+1+2+3+……+n=2017,可以解得n=63。(很完美。) 也就是说,第2017个数刚好是以63为分母...

=1009/2019

=1-1/2+1/2-1/3+1/3-1/4+…+1/2016-1/2017 =1-1/2017 =2016/2017 (2017分之2016) 你好,本题已解答,如果满意 请点右下角“采纳答案”。

(1/2018-1)(1/2017-1)...(1/3-1)(1/2-1) =-(1- 1/2018)(1- 1/2017)...(1- 1/3)(1- 1/2) =-(2017/2018)(2016/2017)...(2/3)(1/2) =-(2017×2016×...×2×1)/(2018×2017×...×3×2) =-1/2018

约等于: 8.186830075

如图~~

1/2+1/2*3+1/3*4+...+1/2016*2017 =1/2+(1/2-1/3)+(1/3-1/4)+...(1/2016-1/2017) =1/2+1/2-1/3+1/3-1/4+...1/2016-1/2017 =1/2+1/2-1/2017 =2016/2017

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