一类线性递推数列求通项的特征根法的探讨

On the eigenvalue method of a solution to general term of a class of linear recursion sequences

求线性递推数列的通项是高考中的重点和难点,此类问题的解法繁琐且易出错,本文探讨了常见的特征根法,给出了相关例子,说明其普遍性、实用性。

The solution to general term of linear recursion sequences is not only a key but a difficult point in the university entrance exam.The solution to such kind of mathematical problem is tedious and easy to make mistakes.This paper probes into the common eigenvalue method and gives the corresponding examples to show its universality and practicality.