1/(1×3)+1/(3×5)+1/(5×7)……+1/(17×19)+1/(19×21) 我来答 1个回答 #热议# 不吃早饭真的会得胆结石吗? faker1718 2022-08-08 · TA获得超过980个赞 知道小有建树答主 回答量:272 采纳率:100% 帮助的人:51.7万 我也去答题访问个人页 关注 展开全部 1/(1×3)=1/2(1-1/3) 1/(3×5)=1/2(1/3-1/5) ... 1/(1×3)+1/(3×5)+1/(5×7)……+1/(17×19)+1/(19×21) =1/2[1-1/3+1/3-1/5+....+1/19-1/21] =1/2[1-1/21] =1/2×20/21 =10/21... 已赞过 已踩过< 你对这个回答的评价是? 评论 收起 推荐律师服务: 若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询 其他类似问题 2022-06-03 1/(1×2×3)+1/(2×3×4)+1/(4×5×6)、、、、+1/(48×49×50) 2017-06-30 1/(1+√2)+1/(√2+√3)+1/(√3+2)+……+1/(√n+√n+1) 11 2022-09-12 (1+tan∝)÷(1-tan∝)=? 2022-07-21 (1+tanα)/(1-tanα ) 2020-09-18 1/(1+√2)+1/(√2+√3)+1/(√3+√4)+...+1/(√99+√100) 2020-07-04 1/()+1/()+1/()+1/()+1/()+1/()=1 2021-01-07 (1/1×3)+(1/3×5)+(1/5×7)+……+(1/2005×2007)) 10 2013-07-30 (1+1/1×3)×(1+1/2×4)×……×(1+1/8×10) 3 为你推荐: