1x2x3+2x3x4+3x4x5+...+7x8x9=,

来源：学生作业帮编辑：作业帮分类：综合作业时间：2024/05/02 01:10:06

因为1x2x3=(1x2x3×4-0x1x2×3)/4
2x3x4=(2x3x4×5-1x2x3×4)/4
.
7x8x9=(7x8x9×10-6x7x8x9)/4
所以 1x2x3+2x3x4+3x4x5+…+7x8x9
=(1x2x3×4-0x1x2×3)/4+(2x3x4×5-1x2x3×4)/4+...(7x8x9×10-6x7x8x9)/4
=(7x8x9×10)/4
=1260

1x2X3+2x3X4+3x4X5+…+7X8X9=? 1x2x3+2x3x4+3x4x5+...+7x8x9=, 1/1x2x3+1/2x3x4+1/3x4x5 1x2x3+2x3x4+3x4x5+…+8x9x10 1x2x3+2x3x4+3x4x5+.+10x11x12 1/1x2x3+1/2x3x4+1/3x4x5+1/4x5x6+.+1/48x49x50= 1/1x2x3+1/2x3x4+1/3x4x5+.+1/11x12x13= 1/1x2x3+1/2x3x4+1/3x4x5+.+1/9x10x11= 请1/1x2x3+1/2x3x4+1/3x4x5+1/4x5x6= 1/(1x2x3)+1/(2x3x4)+1/(3x4x5)+.1/(20x21x22)=? 1/1x2x3+1/2x3x4+1/3x4x5+.1/98x99x100= 1x2x3+2x3x4+3x4x5+4x5x6+...+n(n+1)(n+2)=