计算(-1X1⼀2)+(-1⼀2X1⼀3)+(-1⼀3X1⼀4)+。。。+(-1⼀2009X1⼀2010)的值了

2025-05-20 09:02:11
推荐回答(1个)
回答1:

(-1X1/2)+(-1/2X1/3)+(-1/3X1/4)+。。。+(-1/2009X1/2010)
=-(1-1/2+1/2-1/3+1/3-1/4+.......+1/2009-1/2010)
=-(1-1/2010)
=-2009/2010