计算1/1X4+1X7+ 1/7x10+...+1/2008X2011的值是多少

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计算1/1X4+1X7+1/7x10+...+1/2008X2011的值是多少计算1/1X4+1X7+1/7x10+...+1/2008X2011的值是多少计算1/1X4+1X7+1/7x10+...

计算1/1X4+1X7+ 1/7x10+...+1/2008X2011的值是多少
计算1/1X4+1X7+ 1/7x10+...+1/2008X2011的值是多少

计算1/1X4+1X7+ 1/7x10+...+1/2008X2011的值是多少
1/(1×4)+1/(4×7)+1/(7×10)+…+1/(2008×2011)
= (1/3)×(1-1/4)+(1/3)×(1/4-1/7)+(1/3)×(1/7-1/10)+…+(1/3)×(1/2008-1/2011)
= (1/3)×[(1-1/4)+(1/4-1/7)+(1/7-1/10)+…+(1/2008-1/2011)]
= (1/3)×(1-1/2011)
= (1/3)×(2010/2011)
= 670/2011

计算1/1X4+1X7+ 1/7x10+...+1/2008X2011的值是多少计算：1/（1x4）+1/（4x7）+1/(7x10)…+1/(298x301) 计算1/1x4+1/4x7+1/7x10+***+1/2007x2010 计算 1X4分之一+4x7分之一+7x10分之一+...+2008x2011分之一的值有理数的计算(1)1/1x4+1/4x7+1/7x10+...+1/2008x2011+1/2011x2014 计算:1x4分之一+4x7分之一+7x10分之一+10x13分之一+13x16分之一等于多少? 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 1/1x4+1/4x7+1/7x10+……+1/2005x2008佼佼我 1/1X4+1/4X7+1/7X10+...+1/100X103= 1/1x4+1/4x7+1/7x10+……+1/97x100SOS!SOS! 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+……+1/2005x2008 1X4/1+4X7/1+7X10/1+…+2005X2008/1=? 1/1x4 +1/4x7+1/7x10+.+1/100x103 急用啊小学分数题：1/1x4+1/4x7+1/7x10+.+1/97x100 1/1x4 + 1/4x7 + 1/7x10 +…+ 1/91x94=?