1/1x2x3+1/2x3x4+1/3x4x5+1/4x5x6+...+1/8x9x10 等于多少?

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/02 05:02:47

1/1x2x3+1/2x3x4+1/3x4x5+1/4x5x6+...+1/8x9x10
=1-1/2-1/2(1-1/3)
+1/2-1/3-1/2(1/2-1/4)
+1/3-1/4-1/2(1/3-1/5)
+1/4-1/5-1/2(1/4-1/6)
+.
+1/8-1/9-1/2(1/8-1/10)
=1-1/9-1/2(1+1/2-1/9-1/10)
=173/360

1/1x2x3+1/2x3x4+1/3x4x5+1/4x5x6+...+1/8x9x10 等于多少? 1x2x3+2x3x4+3x4x5+…+8x9x10 1/2x3X4十1/3X4x5十1/4X5X6……十1/8X9X10等于多少最好给个详细答案谢谢 1/1x2x3+1/2x3x4+1/3x4x5+1/4x5x6+.+1/48x49x50= 请1/1x2x3+1/2x3x4+1/3x4x5+1/4x5x6= 1x2x3+2x3x4+3x4x5+4x5x6+...+n(n+1)(n+2)= 1/1x2x3+1/2x3x4+1/3x4x5+1/4x5x6+1/5x6x7=?这类题 1x2x3=6 3x4x5=60 5x6x7=210 2x3x4=24 4x5x6=120三个连续自然数(0除外）的乘积 1/1x2x3+1/2x3x4+1/3x4x5 1x2X3+2x3X4+3x4X5+…+7X8X9=? 1x2x3+2x3x4+3x4x5+...+7x8x9=, 1x2x3+2x3x4+3x4x5+.+10x11x12