推广的Fibonaci数列的通项研究

General term study of the spreaded Fibonaci sequence

线性逆推数列an=pan -1+qan -2 在数列部分占有重要的地位 ,而它的通项公式尚未求出 .利用无穷级数 ,通过构造母函数 ,推出了数列 {an}的通项公式 ,为数列通项公式的求法提供了新思路 .

Lineer recurent sequence a n=pa n-1 +qa n-2 occupies an important role in sequence.But its general term formule is not worked out.In this paper,general term formula is obained by using infinite series and making generrate functin.It gives a new idea for sequence general term formula.