关于线性递推数列通项的求法及其收敛特征

Solution to General Term of Linear Recurrence Series and Its Characteristic of Convergence

运用方程及化归的思想给出一阶线性递推数列、一阶分式线性递推数列、二阶线性递推数列以及二元一阶线性递推数列的通项,然后在此基础上建立若干关于线性递推数列的收敛特征定理.

This paper solves general term of the first order linear recursive series, the first order fractional linear recurrence series, second order linear recurrence series and bivariate first order linear recurrence series, using the view of equation and the view of reduction, and then sets up a number of convergence characteristic theorems about a number of linear recursive series.