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数列不等式的证明类题目经常出现在试卷的压轴题位置,是高考的难点,也是教学的难点.因题目灵活多变,考查内容丰富,证明充满技巧,使考生难以捉摸,望题兴叹!若站在数学思想方法的高度,对数列不等式类题目进行深入反思,将会得到意想不到的结果,本文主要介绍一类通项可放缩为等比数列的数列求和不等式问题,与大家分享.1高考题目及参考答案题目1(2014年课标Ⅱ卷理科17题)已知数列{a_n}满足a_1=1,a_(n+1)=3a_n+1,
The inequality of numerical inequality of proof questions often appear in the test paper finale position, is the difficulty of the college entrance examination, but also the teaching difficulties.As a result of the flexible subject, test content is rich, prove full of skills, make the examinee elusive, hopeless! At the height of the method of mathematical thought, we can get unexpected results by in-depth reflection on the problems of numerical inequalities. This paper mainly introduces a series of summation inequality that can be reduced to geometric series by general terms. The title of the college entrance examination and reference answer Question 1 (2014 Curriculum Standard II Volume Science 17) Known series {a_n} satisfy a_1 = 1, a_ (n +1) = 3a_n +1,