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在解一些与正整数有关的数学竞赛问题过程中,常常需要根据题给条件,构造适当的数列{f(n)},然后利用它的一阶差分f(n+1)-f(n)来解决问题.构造一个怎样的数列有助于解题呢?当然因题而异.本文将通过一些例
In the process of solving some math race problems related to positive integers, it is often necessary to construct the appropriate sequence {f (n)} according to the given conditions and then use its first order difference f (n + 1) -f (n) To solve the problem.How to construct a series of questions will help solve the problem? Of course, due to different problems.This article will be some examples