《数学通讯》2005年第15期刊登了徐建义,丁尔法两位老师的文章———《对一道课本习题解答的完善》,读后深受启发.笔者认为:原文提供的解法仍显得比较烦琐.下面笔者给出一种较简捷的解法,供参考.题目已知数列{an}中,a1=5,a2=2,an=2an-1+3an-2(n≥3),对于这个数列的通项公式作一 In the 15th issue of Mathematical Newsletter, published in 2005 by Xu Jianyi and Ding Erfa, the two articles titled “Improvement of Answers to a Textbook Exercise,” I was inspired by the reading. The author believes that the solution provided by the original text is still relatively clear. Cumbersome. The following author gives a simpler solution, for reference. The topic known series {an}, a1=5, a2=2, an=2an-1+3an-2(n≥3), for this The formula for a series of general terms