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现行中学数学教材指出,如果一个数列的第n项a_n与项数n之间的函数关系可以用一个公式来表示,这个公式就叫做这个数列的通项公式。由已知数列的前若干项,求数列的通项公式,一般说来,有如下几种情况: ①写不出通项公式的,如3~(1/2)的精确到1/10~n的近似值数列; 1,1.7,1.73,1.732,… 2,1.8,1.74,1.733,…就没有通项公式。②通项公式不是用一个代数式表示的。
The current middle school mathematics textbook points out that if a function relation between the nth item a_n of a sequence and the item number n can be represented by a formula, this formula is called a general term formula of this sequence. From the first few items of the known series, the general term formula of the series is generally the following: 1 It is not possible to write a general term formula, such as 3~(1/2) to 1/10. The approximate number sequence of n; 1,1.7, 1.73, 1.732,..., 2,1.8, 1.74, 1.733,... There is no general term formula. 2 The general term formula is not represented by an algebraic formula.