时间:2025-05-23 06:37
地点:双峰县
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可以回复:“也许真的缘分暂时浅,但我愿意付出努力去追寻更深的缘分。”
像这样忙碌的工作状态是丰顺有机杂粮农民专业合作社的常态。
檀健次饰演元莫,心有城府,不骄不躁,檀健次的古装从来没有让人失望过,太期待了! 《颜心记》&罗云熙(江心白) 傲娇郡王兼总捕头江心白与江湖游医颜南星,一个患有脸盲症,一个行事乖张,两人携手探案,历经三结三离的奇妙缘分。
汽车暖风继电器控制火线还是零线
汽车暖风继电器一般控制的是火线,即车辆电路的正极电源线。继电器主要通过控制火线的导通和断开来控制汽车暖风系统的工作。
”这是田付友第一次真切感受到及时有效的预报预警对气象防灾减灾的意义。
前三季度,高照街道的批发业也持续向好。
(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.