1/(1×2)+2/(1×2×3)+3/(1×2×3×4)+……+9/(1×2×3×4×5×6×7×8×9×10)=?
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:2024/07/13 08:42:46
1/(1×2)+2/(1×2×3)+3/(1×2×3×4)+……+9/(1×2×3×4×5×6×7×8×9×10)=?
![1/(1×2)+2/(1×2×3)+3/(1×2×3×4)+……+9/(1×2×3×4×5×6×7×8×9×10)=?](/uploads/image/z/19033113-57-3.jpg?t=1%2F%EF%BC%881%C3%972%EF%BC%89%2B2%2F%EF%BC%881%C3%972%C3%973%EF%BC%89%2B3%2F%EF%BC%881%C3%972%C3%973%C3%974%EF%BC%89%2B%E2%80%A6%E2%80%A6%2B9%2F%EF%BC%881%C3%972%C3%973%C3%974%C3%975%C3%976%C3%977%C3%978%C3%979%C3%9710%EF%BC%89%3D%3F)
1/(1×2)=½
1/(1×2)+2/(1×2×3)=5/6
1/(1×2)+2/(1×2×3)+3/(1×2×3×4)=23/24
……
1/(1×2)+2/(1×2×3)+3/(1×2×3×4)+……+9/(1×2×3×4×5×6×7×8×9×10)=(1×2×3×4×5×6×7×8×9×10-1)/(1×2×3×4×5×6×7×8×9×10)
1/(1×2)+2/(1×2×3)=5/6
1/(1×2)+2/(1×2×3)+3/(1×2×3×4)=23/24
……
1/(1×2)+2/(1×2×3)+3/(1×2×3×4)+……+9/(1×2×3×4×5×6×7×8×9×10)=(1×2×3×4×5×6×7×8×9×10-1)/(1×2×3×4×5×6×7×8×9×10)
1/1+(1/1+2)+(1/1+2+3)……+(1/1+2+3+4+5+6+7+8+9+10+11)=
(1+3+5+7+9……+99+101)-(2+4+6+8+10+……+98+100)
(1+3+5+7+9……+99)-(2+4+6+8+10+……+98+100)
(1+3+5+7+9……+99+101)-(2+4+6+8……+98+100)=?
1+1= 1+8+8= 1+2+3+4+5+6+7+8+9+10……+100=(算式)
1-2+3-4+5-6+7-8+9-10……+27-28+29-30+31= (要简算)
1/(1*2*3)+1/(2*3*4)+1/(3*4*5)……+1/(8*9*10) 等于怎么算
简便计算 (2+4+6+8+……+100)-(1+3+5+7+9+……+99)
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