冷知识分享平台爸妈年纪大了应该怎么保养关节？，揭开奇闻异事

冷知识分享平台爸妈年纪大了应该怎么保养关节？，揭开奇闻异事

To find the sum of the given series, we need to add all the terms together. (1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) + ... + (1/2009 - 1/2010) We can simplify each term by finding the common denominator. 1 - 1/2 = 2/2 - 1/2 = 1/2 1/2 - 1/3 = 3/6 - 2/6 = 1/6 1/3 - 1/4 = 4/12 - 3/12 = 1/12 We can observe that each term follows this pattern - the denominator of the second fraction becomes the denominator of the first fraction in the next term. So, the series can be written as: 1/2 + 1/6 + 1/12 + ... + 1/2009 To find the sum of this series, we need to find the common denominator of all the fractions. The common denominator of 2, 6, 12, ..., 2009 will be the least common multiple (LCM) of these numbers. Calculating the LCM of these numbers is a bit lengthy. Instead, we can find the LCM of 2, 3, 4, ..., 2010, and then divide by the LCM of 2, 3, 4, ..., 2009. LCM(2, 3, 4, ..., 2010) / LCM(2, 3, 4, ..., 2009) = 2010 / 2 = 1005 So, the common denominator is 1005. To add the fractions, we need to express them with the common denominator: 1/2 = (1/2) * (1005/1005) = 1005/2010 1/6 = (1/6) * (1005/1005) = 167.5/2010 1/12 = (1/12) * (1005/1005) = 83.75/2010 Now we can add: 1005/2010 + 167.5/2010 + 83.75/2010 + ... + 1/2009 We can observe that the denominators of the fractions form an arithmetic sequence, and the numerators follow the same pattern. Using the formula for the sum of an arithmetic sequence: Sum = (first term + last term) * number of terms / 2 In this case, the first term is 1005/2010, the last term is 1/2009, and the number of terms is 2010. Sum = (1005/2010 + 1/2009) * 2010/2 Sum = (1005/2010 + 1/2009) * 1005 Sum = (1005 * 2009 + 1 * 2010) / 2 Sum = (2019955 + 2010) / 2 Sum = 2021965 / 2 Sum = 1010982.5 Therefore, the sum of the given series is 1010982.5.

李勇对枣庄理工学校的办学理念和管理方法充分肯定，也欢迎枣庄理工学校的优秀学生报考湖北师范大学，并推荐枣庄理工学校来湖北师范大学招聘优秀教师。，另一方面是让研发机构能主动对照标准去建设平台和利用干细胞，保证干细胞技术安全有效。

山东省市场监管局党组书记、局长吴承丙介绍到，山东建设各类质量基础设施“一站式”服务平台116个，服务企业26万余家，帮助解决技术难题4000余个。，今年总共收了1500吨马铃薯，对我们来说是个丰收年！”合作社负责人马小云高兴地说，收回来的马铃薯一部分被卖掉做成淀粉，还有一部分会被优选成为明年开春的种子。

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报告显示，杭州连续5年进入“外籍人才眼中最具吸引力的中国城市”排名前5位。， 乌林村电商直播基地直播间。

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