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近年来,递推数列问题成为高考命题和数学竞赛的热点题型,究其原因是递推数列问题对数学解题能力要求较高,蕴涵着丰富的数学思想方法,是考查逻辑推理和化归转化能力的很好题材。而一阶线性递推数列又是考查的重点和主要形式,研究一阶线性递推数列的重点、难点是求通项公式,其方法很多且灵活。目前关于一阶线性递推数列通项公式的求法主要有:累加法、累乘法、换元法、待定系数法、归纳法、
In recent years, the recursion number sequence has become a hot topic type in college entrance examination proposition and mathematics competition. The reason is that recursion sequence problems have higher requirements on mathematical problem solving ability and contain rich mathematical thinking methods. Very good conversion ability of the subject. The first order linear recurrence sequence is the focus and the main form of the test. The key point of studying the first order linear recurrence sequence is to find the formula of the general term, which has many methods and is flexible. At present, the first order linear recurrence sequence general formula to seek the main methods are: cumulative method, tired multiplication method, replacement method, pending coefficient method, inductive method,