数列是初等数学与高等数学的重要衔接点,是考查学生逻辑思维能力和推理能力的好素材,因而数列一直是高考的热点,而对数列的考查又集中在等差数列与等比数列上,又因为数列中第n项与n形成的函数关系,使得数列又成为函数知识的一个重要载体,题目类型、解题方法趋于多样化,可归纳为 The series is an important connecting point between elementary mathematics and advanced mathematics. It is a good material for examining students’ logical thinking ability and reasoning ability. Therefore, the series is always the hot spot of the college entrance examination, and the examination of the series is concentrated on the arithmetic progression and geometric progression. Because of the functional relationship between the nth term and the n in the sequence, the sequence becomes an important carrier of function knowledge. The types of questions and the methods for solving problems tend to be diversified and can be summarized as