专业问答网站 小龙虾的虾黄到底能不能吃？，解决你的疑惑

专业问答网站 小龙虾的虾黄到底能不能吃？，解决你的疑惑

安庆市哪个县离宣城最近？

安庆市中离宣城县最近的县是怀宁县。

技术革新实现降碳增效 走进江西赣江海螺水泥有限责任公司，映入眼帘的是一道道靓丽的风景，绿植遍地、鸭鹅戏水，一排排蓝色光伏电板在阳光下闪闪发光，宛如一幅优美的生态画卷。，”在济大路34号院住了多年的宋先生说，老旧小区改造启动后，这个问题终于得到了有效解决。

脆皮豆腐的做法

2019年，华为与长安汽车全面深化战略合作落地，成立联合创新中心。，邀请小朋交们走进厅堂、现场开启财商教学，教育小朋交们从小树立正确的财富观，提升金融知识储备。

(1-1/2)+(1/2-1/3)+(1/3-1/4)+···+（1/2009-1/2010

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.

本文共有21人参与回答，点击这里发表你的个人建议吧！