搜搜考试网1x2x3+2x3x4+3x4x5+.+7x8x9=?
来源：学生作业帮 编辑：搜搜考试网作业帮 分类：数学作业 时间：2024/07/29 23:55:11
1x2x3+2x3x4+3x4x5+.+7x8x9=?
1x2=1/3(1x2x3-0x1x2)
2x3=1/3(2x3x4-1x2x3)
3x4=1/3(3x4x5-2x3x4)
1x2+2x3+3x4=1/3x3x4x5=20
1x2=1/3(1x2x3-0x1x2)
2x3=1/3(2x3x4-1x2x3)
3x4=1/3(3x4x5-2x3x4)
1x2+2x3+3x4=1/3x3x4x5=20
一般的,有：
(n-1)n(n+1)
=n^3-n
{n^3}求和公式：Sn=[n(n+1)/2]^2
{n}求和公式：Sn=n(n+1)/2
1x2x3+2x3x4+3x4x5+.+7x8x9
=2^3-2+3^3-3+...+8^3-8
=(2^3+3^3+...+8^3)-(2+3+...+8)
=[(8*9/2)^2-1]-8*9/2+1
=1260
(n-1)n(n+1)
=n^3-n
{n^3}求和公式：Sn=[n(n+1)/2]^2
{n}求和公式：Sn=n(n+1)/2
1x2x3+2x3x4+3x4x5+.+7x8x9
=2^3-2+3^3-3+...+8^3-8
=(2^3+3^3+...+8^3)-(2+3+...+8)
=[(8*9/2)^2-1]-8*9/2+1
=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)=