1/1x2x3+1/2x3x4+1/3x4x5+------+1/98x99x100=
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1/1x2x3+1/2x3x4+1/3x4x5+------+1/98x99x100=
1/1x2x3+1/2x3x4+1/3x4x5+------+1/98x99x100=
1/1x2x3+1/2x3x4+1/3x4x5+------+1/98x99x100=
1/1x2x3+1/2x3x4+1/3x4x5+------+1/98x99x100
=(1/2)*(1/1*2-1/2*3)+(1/2)*(1/2*3-1/3*4)+...+(1/2)(1/98*99-1/99*100)
=(1/2)*(1/1*2-1/2*2+1/2*3-1/3*4+...+1/98*99-1/99*100)
=(1/2)*(1/2-1/9900)
=(1/2)*(4949/9900)
=4949/19800.
题目应为:1/(1*2*3)+1/(2*3*4)+...+1/(98*99*100)
原式=1/2*(1/(1*2)-1/(2*3)+1/(2*3)-1/(3*4)+...+1/(98*99)-1/(99*100))=4949/19800
1x2x3+2x3x4+...+nxx=?
1x2=1/3x(1x2x3-0x1x2)2x3=1/3x(2x3x4-1x2x3)3x4=1/3x(3x4x5-2x3x4)求1x2x3+2x3x4+3x4x5+...+7x8x9=?
1x2x3+2x3x4+3x4x5+…+8x9x10
1x2x3+2x3x4+3x4x5+.+10x11x12
1x2x3+2x3x4+3x4x5+...+7x8x9=,
1x2X3+2x3X4+3x4X5+…+7X8X9=?
1x2x3 2x3x4 3x4x5 .10x11x12,怎么算
求和:1X2X3+2X3X4+3X4X5+...+98X99X100
1/1x2x3+1/2x3x4+.+1/98x99x100 .
1/1X2X3+1/2X3x4+…+1/48X49X50
1X2X3+2X3X4+.+n(n+1)(n+2)
1x2x3+2x3x4+.+nx(n+1)(n+2)=?
1x2x3+2x3x4+.+n(n+1)(n+2)=?
求和1x2x3+2x3x4+...+n(n+1)(n+2)
1x2x3+2x3x4+…+n(n+1)
计算1x2x3+2x3x4+…+48x49x50
1x2=1|3(1x2x3-0x1x2) 2x3=1|3(2x3x4-1x2x3) 3x4=1|3(3x4x5-2x3x4)由此推断1x2x3+2x3x4+3x4x5.7x8x9=?
1/1x2x3+1/2x3x4+1/3x4x51/2x3x4 + 1/3x4x5 + 1/4x5x6 +……+1/99x100x101是 1/(2x3x4)