Python: Generate a list, containing the Fibonacci sequence, up until the nth term

Last update on April 19 2025 12:57:41 (UTC/GMT +8 hours)

Generate Fibonacci Sequence

Write a Python program to generate a list containing the Fibonacci sequence, up until the nth term.

Starting with 0 and 1, use list.append() to add the sum of the last two numbers of the list to the end of the list, until the length of the list reaches n.
If n is less or equal to 0, return a list containing 0.

Sample Solution:

Python Code:

 # Define a function named 'fibonacci_nums' that generates a list of Fibonacci numbers up to the nth value.
def fibonacci_nums(n):
    # Check if n is non-positive (less than or equal to 0).
    if n <= 0:
        # Return a list containing only 0 when n is not positive.
        return [0]
    	
    # Initialize the Fibonacci sequence with the first two values, 0 and 1.
    sequence = [0, 1]
    
    # Continue generating the sequence until it reaches the desired length (n).
    while len(sequence) <= n:
        # Calculate the next value by adding the last two values in the sequence.
        next_value = sequence[len(sequence) - 1] + sequence[len(sequence) - 2]
        # Append the next value to the sequence.
        sequence.append(next_value)
    
    # Return the list of Fibonacci numbers.
    return sequence

# Print the first 7 Fibonacci numbers.
print("First 7 Fibonacci numbers:")
print(fibonacci_nums(7))

# Print the first 15 Fibonacci numbers.
print("\nFirst 15 Fibonacci numbers:")
print(fibonacci_nums(15))

# Print the first 50 Fibonacci numbers (for demonstration purposes).
print("\nFirst 50 Fibonacci numbers:")
print(fibonacci_nums(50))

Sample Output:

First 7 Fibonacci numbers:
[0, 1, 1, 2, 3, 5, 8, 13]

First 15 Fibonacci numbers:
[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610]

First 50 Fibonacci numbers:
[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, 2971215073, 4807526976, 7778742049, 12586269025]

Flowchart:

For more Practice: Solve these Related Problems:

Write a Python program to generate Fibonacci numbers up to a given maximum value instead of a fixed term count.
Write a Python program to generate the first n Fibonacci numbers recursively.
Write a Python program to generate the Fibonacci sequence and then return the sequence in reverse order.
Write a Python program to compute the sum of the first n Fibonacci numbers.

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