已知数列的递推公式求数列的通项公式是历年数学高考的热点和难点,运用化归数学思想方法,构造一个成等差或等比的新数列,是解决这类问题的基本方法。本文通过具体例子,说明构造新数列的思路和方法,有一定参考价值。 Known series recalculation formulas The general formula for finding the number series is the hot and difficult point of the mathematics entrance exam in the past years. By using the method of converting to mathematics, constructing a new series with equal or equal differences is the basic method to solve such problems. This article through specific examples, explain the ideas and methods of constructing new series, have some reference value.