1+1/2+1/23+1/34+1/45+1/56+1/67+1/78+1/89+1/910+1/10*11

来源：百度知道编辑：UC知道时间：2024/05/24 21:31:06

求和，需要过程。
谢谢各位大侠！！！

1+(1-1/2)+(1/2-1/3)+...+(1/9-1/10)+(1/10-1/11)=20/11

原题=1+1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+....+1/10-1/11
=1+1-1/11=21/11

1+1/2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+1/10*11
=1+(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+()1/6-1/7+(1/7-1/8)+(1/8-1/9)+(1/9-1/10)+(1/10-1/11)
=1+1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+)1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11
=1+1-1/11
=21/11

解：1+1/2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+1/10*11
=1+1/2+(1/2-1/3)+(1/3-1/4)+……+（1/10-1/11)
=1+1-1/11
=1+1-1/11
=21/11

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+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)× 3/2=2+1/1*2=1/1+1/2 (1/2005-1)(1/2004-1)........(1/3-1)(1/2-1)