UC知道1/1*2*3+1/2*3*4+.....+1/48*48*50=？
来源：百度知道 编辑：UC知道 时间：2024/06/23 16:29:57
=1/2*(1/1*2-1/2*3)+1/2*(1/2*3-1/3*4)+……+1/2*(1/48*49-1/49*50)
=1/2*(1/1*2-1/2*3+1/2*3-1/3*4+……+1/48*49-1/49*50)
=1/2*(1/1*2-1/49*50)
=306/1225
1／（1×2×3）+1／（2×3×4）+1／（4×5×6）、、、、+1／（48×49×50）
= 1/2 *[(3-1)/(1*2*3)+(4-2)/(2*3*4)....+(50-48)/(48*49*50)]
=1/2 * [1/(1*2)-1/(2*3)+1/(2*3)-1/(3*4)....+1/(48*49)-1/(49*50)]
=1/2*(1/2-1/2450)
=306/1225
1/1*2*3+1/2*3*4+.....+1/48*49*50
=(1/1*2-49*50)*1/2
=306/1225
1+1/(1+2)+1/(1+2+3)+...+1/(1+2+3+...+100)
1+1/(1+2)+1/(1+2+3)+-------+1/(1+2+3+----+100)
(1/2005-1)(1/2004-1)........(1/3-1)(1/2-1)
1+1/1+2+1/1+2+3+...+1/1+2+3...+2000
1*(1/1+2)*(1/1+2+3)*~~~*(1/1+2+~~~2005)=?
1+1/2+1/3+.....+1/n
1+1/2+1/3+...+1/100
1-1/2+1/3-.....-1/10
(1+1/2+1/3+1/4)×
1/1+2 + 1/1+2+3 +....+ 1/1+2+3+....+100=