5/6-7/12+9/20-11/30+.(n-1)*n/(n-1)+n-n+(n+1)/n*(n+1)=?
问题描述:
5/6-7/12+9/20-11/30+.(n-1)*n/(n-1)+n-n+(n+1)/n*(n+1)=?
今天就要!~~O(∩_∩)O谢谢了
答
5/6-7/12+9/20-11/30+.(n-1)*n/(n-1)+n-n+(n+1)/n*(n+1)=(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-(1/5+1/6)+...+(1/n+1/(n+1))=1/2+1/3-1/3-1/4+1/4+1/5-...+1/n+1/(n+1)=1/2+1/(n+1)=(n+1+2)/2(n+1)=(n+3)/2(n+1);很高兴...