Fibonacci数列通项公式的四个直接证明

Four Direct Proofs for the General Term Formula about Fibanacci Sequence

分别用初等方法,分析学中的生成函数方法,线性代数中矩阵的对角化方法以及几何变换的方法给出了Fibonacci数列通项公式的四个较为简单的直接证明.

This paper gives the direct proofs for the general term formula about Fihonacci sequence by several methods. These methods are elementary method, generating function method, diagonalization of matrix in linear algebra and geometric transformation.