函数f(x)=1/(x+a)的迭代序列与斐波那契数列

The iterative function sequence of the function f(x)=1/(x+a) and the Fibonacci sequence

讨论函数 f ( x) =1x + a的迭代数序 { f n ( x) } ,并证明了其收敛结果 ,从而引出了斐波那契数列。

This paper discusses the iterative function sequence {f n(x)} of the function f(x)=1x+a,proves that it is convergent,and then deduces the Fibonacci sequence.