分式线性递归数列的通项公式与性质——问题Whc116的解决

General Term Formula of Fractional Linear Recursive Sequence and the Nature——The Solution of the Problem Whc116

利用一个二阶齐次线性递归数列的通项公式,求出分式线性递归数列的通项公式,得出了分式线性递归数列有关项数的结论,并给出了判定分式线性递归数列的敛散性与周期性的充要条件.

Using the general term formulas of a second-order homogeneous linear recurrent sequences, the author finds out the general term formulas of fractional recurrent sequences, concludes related number of items of the fractional recurrent sequences and gives the necessary and sufficient conditions for determining convergence and divergence and periodicity of fractional recurrent sequences.