计算1/1X4+1X7+ 1/7x10+...+1/2008X2011的值是多少
来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/10/01 19:30:56
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
= (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 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1/1x4+1/4x7+1/7x10+.+1/2002x2005+1/2005x2008
计算1/1x4+1/4x7+1/7x10+***+1/2007x2010
计算:1x4分之一+4x7分之一+7x10分之一+10x13分之一+13x16分之一
100x( 3/1x4 + 3/4x7 +3/7x10 +.3/97x100)=?注:1x4、4x7、7x10等均为分母
计算①1x2/1+2x3/1+3x4/1+```+19x20/1= ②1x4/1+4x7/1+7x10/1+```+91
1/1x4+1/4x7+1/7x10+1/10x13+1/13X16 简便
1/1x4+1/4x7+1/7x10+……+1/2005x2008
1/1X4+1/4X7+1/7X10+...+1/100X103=
1/1x4+1/4x7+1/7x10+……+1/97x100
1/(1x4)+1/(4x7)+1/(7x10)+...+1/(91x94)