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在高中数学中,错位相减法是用来推导等比数列前n项和公式的方法,是数列求和的重要方法之一,也是高考考查的重点方法.一、提出问题,引发思考笔者研究近几年各省市的高考数列解答题发现,用错位相减法求数列的前n项和的问题出现频率非常高.从下面所列举的部分高考试题,我们发现这些高考数列解答题第(1)问都是考查等差、等比这两种特殊数列的通项公式,第(2)问都是考查由等差等比对应项
In high school mathematics, dislocation subtraction method is used to derive the first n items and formulas of geometric series, is one of the important methods of summation of sequences, and is also the key method of college entrance examination. Several provinces and cities in a few years to find the answer to the number of college entrance examination found that the use of dislocation subtraction method for the first n and the number of questions and the frequency of appearance is very high.From the following part of the entrance exam questions we found these questions Are examining equal differences, the ratio of these two special series of general formulas, the first (2) are asked by the test results from the equivalent ratio