数列作为特殊的函数,其通项公式就是这种函数的显性表达式,而数列的递归关系相当于函数方程,它间接地给出了数列.如何通过递归关系寻找数列显性表达的通项公式,一直是数列研究的重点.现在我们来研究下列形式的数列,以得出这类数列的一般求解方法. The series is a special function whose general term formula is the explicit expression of this function, and the recurrence relation of the series is equivalent to the function equation, which indirectly gives the series. How to find the general term of the explicit expression of the series through the recurrence relation The formula has always been the focus of the series research. Now we will study the following forms of numbers to get the general solution to this type of series.