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

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/02 04:54:46

1/2x3X4=（1/2X3-1/3X4）X1/2
1/3X4x5=（1/3X4-1/4X5）X1/2
.1/8X9X10=（1/8X9-1/9X10）X1/2
上述各式相加得：
1/2x3X4十1/3X4x5十1/4X5X6……十1/8X9X10
=（1/2X3-1/3X4+1/3X4-1/4X5+.+1/8X9-1/9X10）X1/2
=（1/2X3-1/9X10）X1/2
=（1/6-1/90）X1/2
=（15/90-1/90）X1/2
=14/90 X 1/2
=7/90 再答：不客气

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+...+1/8x9x10 等于多少? 1x2x3+2x3x4+3x4x5+…+8x9x10 1/2x3x4+1/3x4x5+1/4x5x6+……+1/48x49x50= 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)= 1十3十5十7十……十2001等于?2十4十6十8十……十2000等于? 1/1x2x3+1/2x3x4+1/3x4x5+1/4x5x6+1/5x6x7=?这类题 100十99十……十5十4十3十2十1 1十2十3十4十……十998十999十1000=多少? 1十2十3十4十5十6十7十8十9十10.98十99十100等于?