中国老师来了英语:求和(数列)

来源:百度文库 编辑:高校问答 时间:2024/04/29 19:54:42
求和:
1/(n+1)+1/(n+2)+1/(n+3)+ ……+1/(2n-1)+1/2n
(n>1)

解:原式=(1/(n+1)+1/2n)*n/2
=(2n+n+1)/(2n*(n+1)*n/2
=(3n+1)/(4*(n+1)