在数列问题中,经常出现一些非常规的递推式,直接运用递推法往往难以求解,这时我们可尝试将其转化,变成熟知的常规形式或已有的模型,或灵活运用一些常用的数学思想和方法与其他知识综合起来,从而达到解决问题的目的.下面以与递推数列有关的不等式的证明为例来探求数学知识之间的 In the series of problems, some unconventional recursion often occurs, and it is often difficult to solve the problem directly by using the recursion method. At this moment, we can try to convert it into a well-known conventional form or an existing one, or utilize some commonly used Of mathematical ideas and methods together with other knowledge, so as to achieve the purpose of solving the problem.The following relies on recursive series of inequalities proved as an example to explore mathematical knowledge