1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+99
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/05 18:07:59
1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+99
2+1分之1加1+2+3/1这样
2+1分之1加1+2+3/1这样
![1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+99](/uploads/image/z/1041550-70-0.jpg?t=1%2F1%2B2%2B1%2F1%2B2%2B3%2B1%2F1%2B2%2B3%2B4%2B...%2B1%2F1%2B2%2B3%2B4...%2B99)
1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+99
=1/[(1+2)*2/2]+1/[(1+3)*3/2]+1/[(1+4)*4/2]+.+1/[(1+99)*99/2]
=2/(2*3)+2/(3*4)+2/(4*5)+.+2/(99*100)
=2(1/2-1/3)+2(1/3-1/4)+2(1/4-1/5)+.+2(1/99-1/100)
=2(1/2-1/100)
=1-1/50
=49/50
=1/[(1+2)*2/2]+1/[(1+3)*3/2]+1/[(1+4)*4/2]+.+1/[(1+99)*99/2]
=2/(2*3)+2/(3*4)+2/(4*5)+.+2/(99*100)
=2(1/2-1/3)+2(1/3-1/4)+2(1/4-1/5)+.+2(1/99-1/100)
=2(1/2-1/100)
=1-1/50
=49/50
1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+99
1+1+2+3+4.+99
-1+2-3+4...-99+100 1/1×2+1/2×3+1/3×4+...+1/2009×2010+1/2010×
1;(1-1/2^2)(1-1/3^2)(1-1/4^2)````````````(1-1/99^2)(1-1/100^
(-1*1\2)+(-1\2*1\3)+(-1\3*1\4)+.+(-1\99*1\100)
1/1*2+1/2*3+1/3*4...+1/99*100+1/(2011*2012)
(1-1/2)(1-1/3)(1-1/4).(1-1/99)(1-1/100)等于?
1+ 1+2分之1+ 1+2+3分之1 +1+2+3+4分之1 +.+1+2+3+4...+99+100分之1 等于多少
1*2/1+2*3/1+3*4/1+.98*99/1+99*100/1=?
99-1+2×3
找规律.1/1*2+1/2*3+1/3*4.直到1/99*100
1/1*2+1/2*3+1/3*4.+1/99*100这道题怎么做