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把若干个相关的等式或不等式左、右两边分别相加来解题的方法叫叠加法.它是解数列题的一个重要方法,必须认真学习好,并注意以下三点:(1)注意在什么情况下用这个方法;(2)注意构造递推关系(等式或不等式);(3)注意变元n的取值范围.应用举例例1求数列1,3,7,13,21,…的一个通公式.解由观察得a_2-a_1=3-1=2,
The method of solving the problem by adding several related equations or the left and right sides of the inequality respectively is an overlay method, which is an important method to solve the problem of series, and must be carefully studied and pay attention to the following three points: (1) Note In this case, use this method; (2) pay attention to construct the recursion relation (equation or inequality); (3) pay attention to the range of the value of argument n. Example of application Example 1 Number of columns 1,3,7,13,21 , ... a solution of the solution by the observation of a_2-a_1 = 3-1 = 2,