试论差比数列方程的解法

Discussion on solution of differential array equations

就差比数列方程an+1=qan+d(q≠1,d≠0)的解法进行了探讨、研究、总结,给出了五种解法,即特征方程法、待定常数法、降标作差法、降标乘q法及递推法.由此可以看出初等数学解决问题的技巧性与灵活性,及未知向已知转化思想.

The solution methods of the differential array equations are proposed to study,research and summary.Five kinds of methods are given,namely the method of characteristic root,of settling constant,of decline mark,of decline mark to multiply by q,and of recursion.From that,we can see the technique and vivid of problem solving in the elementary mathematics,and the logic of conversion from unknown to known.