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:2024/07/03 11:44:34
1/(1+2)+1/(1+2+3)+1/(1+2+3+4)+.+1/(1+2+3+4+.99)=
![1/(1+2)+1/(1+2+3)+1/(1+2+3+4)+.+1/(1+2+3+4+.99)=](/uploads/image/z/18579770-26-0.jpg?t=1%2F%281%2B2%29%2B1%2F%281%2B2%2B3%29%2B1%2F%281%2B2%2B3%2B4%29%2B.%2B1%2F%281%2B2%2B3%2B4%2B.99%29%3D)
原式=1/(1/2*3*2)+1/(1/2*4*3)+1/(1/2*5*4)+.+1/(1/2*100*99)
=2[1/(3*2)+1/(4*3)+1/(5*4)+.+1/(100*99)]
=2[(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.+(1/99-1/100)]
=2(1/2-1/100)
=49/50 .
=2[1/(3*2)+1/(4*3)+1/(5*4)+.+1/(100*99)]
=2[(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.+(1/99-1/100)]
=2(1/2-1/100)
=49/50 .
1*2/1+2*3/1+3*4/1+.98*99/1+99*100/1=?
1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+...+99=?简算
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)(1-1/3)(1-1/4).(1-1/99)(1-1/100)等于?
1/1*2+1/2*3+1/3*4+1/4*5.1/99*100=
1/1×2+1/2×3+1/3×4+1/4×5+.+1/98×99+1/99×100=?
1/1*2+1/2*3+1/3*4+1/4*5+.1/98*99+1/99*100=?
1/1*2+1/2*3+1/3*4+…+1/99*100=?
1/1*2+1/2*3+1/3*4+.1/99*100=?
1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+99
(1):1/1*2+1/2*3+1/3*4+1/4*5+.1/99*100=?