1⼀1985*1986+1⼀1986*1987+1⼀1987*1988+....1⼀1995*1996+1⼀1996*1997+1⼀1997=?

2024-12-23 04:39:10
推荐回答(1个)
回答1:

1/1985*1986=1/1985-1/1986……
依次规律:
1/1985*1986+1/1986*1987+1/1987*1988+....1/1995*1996+1/1996*1997+1/1997
=1/1985-1/1986+(1/1986-1/1987)+...+(1/1996-1/1997)+1/1997
=1/1985