2006年和2007年全国数学高考理科试题第22题都考察了知识点——“a_(n+1)=((pa_n+q)/(ra_n+h))”型数列求通项公式,笔者对此类问题做了研究,得出了如下定理,运用该定理可以使问题迅速得到解决.定理如果数列{a_n}满足下列条件:已知 a_1的值且对于 n_∈N~*,都有 a_(n+1)=((pa_n+q)/(ra_n+h))(其中 p,q,r,h 均为常数,且 In the 2006 and 2007 National Mathematical College Entrance Examination Question 22, we examined the knowledge points: “a_(n+1)=((pa_n+q)/(ra_n+h))” The author has studied this type of problem and has come up with the following theorem. Using the theorem can quickly solve the problem. The Theorem If the sequence {a_n} satisfies the following conditions: The value of a_1 is known and for n_∈N~*, both There is a_(n+1)=((pa_n+q)/(ra_n+h)) (where p,q,r,h are constants, and