使用MATLAB的斐波那契数 [英] Fibonacci numbers using matlab

问题描述

我需要使用matlab编写代码来计算前10个斐波那契数.

I need to write a code using matlab to compute the first 10 Fibonacci numbers.

用于计算斐波纳契数的公式为

The equation for calculating the Fibonacci numbers is

f(n)= f(n-1)+ f(n-2)
知道
f(0)= 1和f(1)= 1

f(n) = f(n-1) + f(n-2)
knowing that
f(0) = 1 and f(1) = 1

我写的简单代码是

f(0) = 1;
f(1) = 1;

for i = 2 : 10
    f(i) = f(i-1) + f(i-2);
    str = [num2str(f(i))];
    disp(str)
end

此代码在第1行中给了我错误消息

This code is giving me error message in line 1:

试图访问f(0);索引必须为正整数或逻辑.

Attempted to access f(0); index must be a positive integer or logical.

另一方面，当我将代码修改为

On the other hand, when i modify the code to

f(1) = 1;
f(2) = 2;

for i = 3 : 10
    f(i) = f(i-1) + f(i-2);
    str = [num2str(f(i))];
    disp(str)
end 

这很好.

但是我需要它来启动并显示f(0)中的数字.

But I need it to start and display the numbers from f(0).

您能告诉我我的代码有什么问题吗?

Can you please tell me what is wrong with my code?

推荐答案

您可以使用 Binet的公式:

n = 1:10;
r = sqrt(5);
phi = (1+r)/2;
psi = (1-r)/2;
f = (phi.^n - psi.^n)./r;

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