For31. An integer \(N(>0)\) is given. The sequence of real numbers \(A_K\) is defined as follows:
\(A_0 = 2, \quad A_K = 2 + 1/A_{K-1}, \quad K = 1, 2, ... .\)
Output the elements \(A_1, A_2, ..., A_N\).

Solution in Python 3:

for N in range(1,22,5):
    print("N = ",N)
    A0 = 2
    for k in range(1,N+1):
        A1 = 2 + 1/A0
        print(k," : ",A1)
        A0 = A1