探求递归数列的通项公式的一般办法是:逐次代入递推找规律—猜想—证明(用数学归纳法).这种办法的优点是解题思路自然直观,缺点是运算量较大,所需过程较多,有时规律不易发现.下面探讨用特殊办法求递归数列的通项公式, The general approach to searching for general term formulas for recursive sequences is: Substituting successively and recursively to find the law—conjecture—proof (using mathematical induction). The advantage of this method is that the problem-solving idea is naturally intuitive, and the disadvantage is that the computational complexity is large. There are many processes, and sometimes the laws are not easy to find. The following discusses the general formula for recursive sequences using special methods.