证明与求和有关的数列不等式是各种试卷中经常出现的试题,一般综合性很强,难度也比较大.我在学习过程中发现:有一类与求和有关的数列不等式,直接证明往往比较困难,但可以通过等价转换,调整不等式的结构,如:已知数列{a_n}的前n项和为S_n,数列{b_n}的前n项和为T_n,要证 Prove the sum of inequalities associated with the summation is a frequent examination of papers in various papers, the general synthesis is very strong, more difficult.I found in the learning process: there is a class of sums and sums associated with the number of inequalities that directly prove that often compare However, we can adjust the structure of inequality through equivalence transformation. For example, it is known that the first n terms of series {a_n} and the first n terms of series {b_n} are S_n and T_n,