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.
01热依扎 大多数人知道热依扎是在孙俪主演的古装剧《甄嬛传》中，她饰演了一个有个性的妃子，那张冷艳无比的脸，在其他争芳斗艳的妃子中很是醒目。,明楼是汪伪政府财政部经济司的首席财经顾问，也是特务委员会的副主任，还是海关总署的督察长。
搡BBBB槡BBBB
对在摸底过程中，对表现出浓厚传统彩礼思想的适婚青年，排除在相亲服务对象之外。,对尼克斯一役，布克又得到28分5篮板11助攻2盖帽，并贡献三分准绝杀。
鸦片鱼怎么做法才好吃 ？
鸦片鱼是一道以鱼肉为主料的家常菜，下面是一种鸦片鱼的常见做法，供参考： 材料： 1. 鲜鱼（如草鱼、鲈鱼、罗非鱼等）500克 2. 生姜两片 3. 大葱一根 4. 料酒适量 5. 食盐适量 6. 白胡椒粉适量 7. 淀粉适量 8. 花椒粉适量 9. 鸡蛋一个 10. 植物油适量 步骤： 1. 鱼洗净后，用刀在鱼身两侧切上几刀（帮助入味），再用盐、料酒腌制15分钟左右； 2. 生姜切碎，葱切成段备用； 3. 在鸡蛋中加入适量的水，打匀，然后加入适量的淀粉搅拌均匀； 4. 将腌制好的鱼均匀地裹上淀粉蛋液； 5. 锅中倒入适量的植物油，加热至6-7成热后，将鱼均匀放入锅中炸至金黄色捞出备用； 6. 锅中留少量底油，放入姜葱煸炒出香味； 7. 加入适量的清水，放入适量的盐、胡椒粉和花椒粉，煮沸； 8. 将炸好的鱼均匀地放入煮好的高汤中，用小火炖煮5-10分钟即可； 9. 最后，加入适量淀粉勾芡，出锅前均匀撒上葱末即可。 温馨提示：可以根据个人口味加入一些调料，如蒜蓉、香菜等，以增加风味。
近年来，邮储银行铜仁市分行致力于助推乡村振兴发展，人员下沉、资金下沉和服务下沉有机结合，着力打通农村金融服务最后一公里。,同时，李连杰还在采访中谈到了生死这个话题，直言自己花费了25年的时间去感受生死。
