数列是高中数学教学的重点,也是历年高考命题的热点,尤其是递推数列通项公式的探求,更是年年高考的常客,本文独辟蹊径,依次介绍构造常数数列探求满足a_(n+1)=ka_n+b(k、b为常数且k≠1)、a_(n+1)=φ(n)a_n、a_(n+1)=a_n+φ(n)等几类关系的递推数列的通项公式. Sequence is the focus of high school mathematics teaching, but also the hot topic of college entrance examination over the years, especially the recursive series of general formula to explore, but also the regulars of the college entrance examination year after year, this paper unique, followed by the introduction of the sequence of constructive constant to meet a_ (n +1) (n + 1) = φ (n) a_n, a_ (n + 1) = a_n + φ (n) with the following formulas: ka_n + b (k, b are constants and k ≠ 1) The general formula.