有限数列的和,是一种非常基本的量,由于求和往往是一个较为困难的问题,因此,对于某些和,我们常转而考虑其各种不等关系(例如上、下界的估计等) .关于和的不等式,在各类数学竞赛中也经常涉及,本文将简单地谈谈这方面的问题.许多涉及和的不等式,可以化为下面的形式:a1 +…+ an≤0 The sum of finite sequences is a very basic quantity. Since summation is often a more difficult problem, for certain sums, we often turn to consider various inequality relations (such as estimates of upper and lower bounds, etc.) ). On the inequality of the sum, often involved in various types of mathematical competition, this article will briefly talk about this issue. Many of the inequalities involved and can be turned into the following form: a1 +... + an ≤ 0