用C语言证明费波拉契数列中Fn/Fn+1等于黄金分割。要求有输入输

Question

用C语言证明费波拉契数列中Fn/Fn+1等于黄金分割。要求有输入输出

Answer 1

 int foo(int n)
{
    if (n == 1 || n == 2)
        return 1;
    return foo(n - 1) + foo(n - 2);
}

int main()
{
    for (int i = 1; i < 20; i++)
    {
        cout << foo(i) / (double)foo(i + 1) << endl;
    }
}

1
0.5
0.666667
0.6
0.625
0.615385
0.619048
0.617647
0.618182
0.617978
0.618056
0.618026
0.618037
0.618033
0.618034
0.618034
0.618034
0.618034
0.618034