1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=()简算
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:2024/08/18 17:47:59
1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=()简算
![1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=()简算](/uploads/image/z/1425776-32-6.jpg?t=1%2F1%C3%972%2B1%2F2%C3%973%2B1%2F3%C3%974%2B1%2F4%C3%975%2B%E2%80%A6%E2%80%A6%2B1%2F98%C3%9799%2B1%2F99%C3%97100%3D%EF%BC%88%EF%BC%89%E7%AE%80%E7%AE%97)
1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.+(1/98-1/99)+(1/99-1/100)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+.+1/98-1/99+1/99-1/100
=1-1/100
=99/100
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.+(1/98-1/99)+(1/99-1/100)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+.+1/98-1/99+1/99-1/100
=1-1/100
=99/100
1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=()简算
1/(1*2)+1/(2*3)+1*(3*4)+1/(4*5)……1/(98*99)+1/(99+100)=?
1×2×1/3+2×3×1/4+……98×99×1/100=?
1+2+3+4+5+6…………+98+99+100=?
(1+2/3+2+3/4+3+4/5+……+97+98/99+98+99/100)/(3+1/3+5+2/4+7+3/5
奥数题1/1×2×3+1/2×3×4+……+1/98×99×100
1/(1*3)+1/(2*4)+1/(3*5)+……+1/(98*100)+1/(99*101)=?
(-1)+(+2)+(-3)+(+4)+(-5)+……+(-99)+(+100)=?
100+99-98-97+96+95-94-93+……+4+3-2-1简算
1×3+2×4+3×5……+97×99+98×100=
1+2+3+4+5+6+7+8+9+…………+99+100简算
计算:1/1*2+1/2*3+1/3*4+1/4*5+……+1/98*99+1/99*100