文[1]采用常数消去法,以学生熟悉的特例为依托,简单明了地解决了求分式线性递推数列通项的问题,受此启发,经过研究,笔者得到了另一种解法,现以文[1]的两个例子来说明.例1已知数列{an}中,满足a1=2,且an=3an-1+55an-1+3(n=2,3,…),求数列{an}的通项公式.解引入参数t,使得an+t=3an In [1], using the constant elimination method, relying on the special case that students are familiar with, solved the problem of solving the general term of the fractional linear recursive sequence in a simple and clear way. Inspired by this, after the study, the author obtained another solution. Two examples of the text [1] to illustrate. Example 1 Known series {an} satisfies a1=2 and an=3an-1+55an-1+3(n=2,3,...) The general formula of the series {an}. The solution introduces the parameter t so that an+t=3an