巧算1⼀1*2+1⼀2*3+1⼀3*4+......1⼀2010*2011=?

要有过程,谢谢!
2024-12-01 01:46:08
推荐回答(2个)
回答(1):

1/1*2+1/2*3+1/3*4+......1/2010*2011
=1-1/2+1/2-1/3+1/3-1/4+……+1/2010-1/2011
=1-1/2011
=2010/2011

回答(2):

1/1*2+1/2*3+1/3*4+......1/2010*2011
=1-1/2+1/2-1/3+……+1/2010-1/2011
=1-1/2011
=2010/2011