1-1/2-1/6-1/12-1/20-.-1/9900急,再线==,速度快了+分简便算法

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1-1/2-1/6-1/12-1/20-.-1/9900急,再线==,速度快了+分简便算法1-1/2-1/6-1/12-1/20-.-1/9900急,再线==,速度快了+分简便算法1-1/2-1/6-

1-1/2-1/6-1/12-1/20-.-1/9900急,再线==,速度快了+分简便算法
1-1/2-1/6-1/12-1/20-.-1/9900
急,再线==,速度快了+分
简便算法

1-1/2-1/6-1/12-1/20-.-1/9900急,再线==,速度快了+分简便算法
1-1/2-1/6-1/12-1/20-.-1/9900
=1-1/2-(1/2-1/3)-(1/3-1/4)-(1/4-1/5)-……-(1/99-1/100)
=1-1/2-1/2+1/3-1/3+1/4-1/4+1/5-……-1/99+1/100
=1-1/2-1/2+1/100
=1/100

=1-1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100)
=1-1/2-1/2+1/3-1/3+1/4-1/4+...-1/99+1/100
=1/100

1-1/2-1/6-1/12-1/20-.....-1/9900
=1-1/(1*2)-1/(2*3)-...-1/(99*100)
=1-1+1/2-1/2+1/3-1/99+1/100
=1/100