1X4/1+4X7/1+7X10/1+…+2005X2008/1=?
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1X4/1+4X7/1+7X10/1+…+2005X2008/1=?1X4/1+4X7/1+7X10/1+…+2005X2008/1=?1X4/1+4X7/1+7X10/1+…+2005X2008/1
1X4/1+4X7/1+7X10/1+…+2005X2008/1=?
1X4/1+4X7/1+7X10/1+…+2005X2008/1=?
1X4/1+4X7/1+7X10/1+…+2005X2008/1=?
裂项法
1/(1×4)=1/3×(1-1/4)
1/(4×7)=1/3×(1/4-1/7)
……
以下同
原式=1/3×(1-1/4+1/4-1/7+……+1/2005-1/2008)
=1/3×(1-1/2008)
=1/3×2007/2008
=669/2008
1/1x4+1/4x7+1/7x10+……+1/2005x2008佼佼我
1/1x4+1/4x7+1/7x10+……+1/97x100SOS!SOS!
1/1x4+1/4x7+1/7x10+……+1/2005x2008
计算：1/（1x4）+1/（4x7）+1/(7x10)…+1/(298x301)
1X4/1+4X7/1+7X10/1+…+2005X2008/1=?
1/1x4 + 1/4x7 + 1/7x10 +…+ 1/91x94=?
1X4/1+4X7/1+7X10/1+…+2005X2008/1=?
100x( 3/1x4 + 3/4x7 +3/7x10 +.3/97x100)=?注：1x4、4x7、7x10等均为分母的大小
1/1x4+1/4x7+1/7x10+1/10x13+1/13X16 简便
计算1/1x4+1/4x7+1/7x10+***+1/2007x2010
1/1X4+1/4X7+1/7X10+...+1/100X103=
1/(1x4)+1/(4x7)+1/(7x10)+...+1/(91x94)
1/1X4+1/4X7+1/7X10+.+1/2002X2005=?有规律的
1/1x4 +1/4x7+1/7x10+.+1/100x103 急用啊
小学分数题：1/1x4+1/4x7+1/7x10+.+1/97x100
计算 1X4分之一+4x7分之一+7x10分之一+...+2008x2011分之一的值
3/(1X4)+3/(4X7)+3/(7X10)+3/(10X13)+3/(13X16)
1/1x4十1/4x7+1/7x10+……1/100X103这题怎么做