一个数列 ,知道其递推关系 ,能够求出通项进而讨论其某些性质 ,固然是好 ,但很多递推关系却很难或不能得到通项 ,但却可以根据递推关系讨论其性质 ,这类问题往往联系不等式、函数与方程等知识 ,既具有趣味性 ,又有很高的能力要求 .一、建立或直接运用递推关系讨论数列的性质例 A sequence of numbers, knowing its recurrence, can find out general terms and discuss some of its properties. It is of course good, but many recursive relationships are difficult or impossible to obtain, but they can be discussed in terms of recursive relations. This type of problem is often associated with knowledge of inequalities, functions, and equations. It is both interesting and highly demanding. I. Establish or directly apply recursive relations to discuss the nature of series.