来自戈兆祥的问题
【有理数的计算(1)1/1x4+1/4x7+1/7x10+...+1/2008x2011+1/2011x2014】
有理数的计算
(1)1/1x4+1/4x7+1/7x10+...+1/2008x2011+1/2011x2014
1回答
2020-12-04 16:05
【有理数的计算(1)1/1x4+1/4x7+1/7x10+...+1/2008x2011+1/2011x2014】
有理数的计算
(1)1/1x4+1/4x7+1/7x10+...+1/2008x2011+1/2011x2014
1/1x4+1/4x7+1/7x10+...+1/2008x2011+1/2011x2014
=(1-1/4+1/4-1/7+1/7-1/10+...+1/2008-1/2011+1/2011-1/2014)/3
=(1-1/2014)/3=671/2014