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

Last update on December 21 2024 13:10:43 (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:

Python Code Editor:

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