有限差分法是一种很有效的方法,可用于许多不同的场合,下面就来讨论这一方法,并给出一些常见的和不常见的应用。方法介绍我们知道,序列在中学教材中有其丰富的来源。在本文中,我们对通项为多项式的序列感兴趣。例如序列(1) 5,7,9,11,…,的项可由多项式2n+3表示。当n=1,2,3,4,…时,这个表达式就生成了序列(1)。一般地,由表达式an+b生成的序列是 The finite difference method is a very effective method that can be used for many different occasions. The following discusses this method and gives some common and unusual applications. Method Description We know that sequences have a rich source in high school textbooks. In this paper, we are interested in sequences whose general terms are polynomials. For example, the terms of the series (1) 5, 7, 9, 11, ..., may be represented by a polynomial 2n+3. When n=1,2,3,4,..., this expression generates the sequence (1). In general, the sequence generated by the expression an+b is