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由递推公式求通项公式的题型多样,求递推数列通项公式的方法也非常灵活,往往可以通过适当的策略将问题化归为等差数列或等比数列加以解决;亦可采用不完全归纳法,由特殊情形推出一般情形,进而用数学归纳法加以证明.因而,求递推数列通项公式问题成为高考命题中颇受青睐的内容.仔细辨析递推关系式的特征,选择恰当方法,是迅速求出通项公式的关键.
There are many kinds of questions by formulas of recursion formulas, and the method of recursion formulas is also very flexible. It is often possible to solve the problem by means of appropriate strategies, such as arithmetic progression or geometric progression. Incomplete induction, the general situation introduced by the special case, and then proved by mathematical induction.Therefore, the formula for general formula of the recursive sequence becomes the popular content of the college entrance examination proposition.Characterize the recursive relation carefully, select Appropriate method is the key to formulate the formula quickly.