形如an+1=pan+q(p≠0,q≠1)类型的递推数列及其变型的通项公式的求法,是高考中考查的热点和重点问题,也是学生掌握的难点.下面从解题通法的角度举例剖析.1通性通法求an+1=pan+q(p≠0,q≠1)类型的数列的通项公式,一般采用待定系数法,即引入参数k,令an+1+k=p(an+k),然后再将它展 The form of an + 1 = pan + q (p ≠ 0, q ≠ 1) type of recursive sequence and its variants of the general formula for the calculation of the college entrance examination exam hot and key issues, but also difficult for students to master. An example is given from the perspective of problem solving and generalization.1 The general formula for the sequence with an + 1 = pan + q (p ≠ 0, q ≠ 1) generally adopts the undetermined coefficient method, that is, the parameter k , Let an + 1 + k = p (an + k), and then show it again