Fibonacci数列的通项公式及其应用

The General Term Formula of the Fibonacci Series and Its Applications

针对由递推公式a0=1,a1=1,an=an-1+an-2(n≥2)所给出的Fibonacci数列,应用幂级数的相关理论,给出此数列的通项公式,并计算出以其为系数的幂级数的收敛半径.

This paper uses power series theory to find the general term formula of Fibonacci series,and evaluates the convergence radius of the power series with coefficients of Fibonacci numbers.