1/2，1/6，1/12，1/20，... ...前100个数的和怎么算

来源：百度知道编辑：UC知道时间：2024/05/27 17:17:22

原式=1/2+1/6+1/12+1/20+1/1/30+1/42+……+1/(10100)

=1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+......+1/(100×101)

=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+......+1/100-1/101

=1-1/101

=100/101

1/2+1/6+1/12+...+1/100*101
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/100-1/101)
=1-1/101
=100/101

1/2 +1/2-1/3 +1/3-1/4....+1/100-1/101
=1-1/101
=100/101

埃及分数

(1/2) (1/4+1/6)= 1/2 ，1/3 ,1/6 /1/6 ,() 1/2+1/6+1/12+1/20+1/30 1/2+1/4+1/6+1/8+.......+1/n=? -1/2-1/6-1/12-1/20-``````````````-1/4026042 1/2+1/6+1/12+......+1/1980+1/2070=? 1/2 1/6 1/3 2 ( ) 3 1/2 数字推理 1/2*4+1/4*6+1/6*8+.......+1/2006*2008 1/2*4+1/4*6+1/6*8+1/48*50 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90=