1⼀1+2+1⼀1+2+3+1⼀1+2+3+4+.........+1⼀1+2+3+.......+50 急啊~~~~~~~

2024-12-24 12:14:15
推荐回答(2个)
回答1:

1+2+3+……+n=n(n+1)/2
1/[n*(n+1)]=1/n-1/(n+1)
原式=1/[(1*2)/2]+1/[(2*3)/2+1/[(3*4)/2]+……+1/[(50*51)/2]
=2(1-1/2+1/2-1/3+1/3-1/4+……+1/50-1/51)
=2(1-1/51)
=100/51

回答2:

楼主知道“1/1+2+3+4+。。。+50”等于几不?