What Python code would you use to create the Fibonacci series iteratively?

Question Analysis

The question asks you to write a Python code that generates the Fibonacci series using an iterative approach. The Fibonacci series is a sequence of numbers where each number is the sum of the two preceding ones, typically starting with 0 and 1. Therefore, the series begins as 0, 1, 1, 2, 3, 5, 8, and so on. An iterative approach means you will use loops to generate the series instead of recursion.

Answer

To generate the Fibonacci series iteratively in Python, you can use a for loop to calculate each Fibonacci number up to a given n:

def fibonacci_series(n):
    fib_sequence = []
    a, b = 0, 1
    for _ in range(n):
        fib_sequence.append(a)
        a, b = b, a + b
    return fib_sequence

# Example usage:
n = 10  # Number of terms you want in the Fibonacci series
print(fibonacci_series(n))

Explanation:

• We define a function fibonacci_series that takes an integer n as an argument, which indicates how many terms of the Fibonacci series you want to generate.
• We initialize an empty list fib_sequence to store the Fibonacci numbers.
• We start with two variables a and b initialized to 0 and 1, representing the first two numbers in the Fibonacci sequence.
• We use a for loop to iterate n times. In each iteration, we:
  • Append the current value of a to the fib_sequence.
  • Update a and b to the next two numbers in the sequence using the tuple assignment a, b = b, a + b.
• Finally, the function returns the fib_sequence list containing the first n Fibonacci numbers.

This approach efficiently generates the Fibonacci series using iteration, avoiding the overhead associated with recursive function calls.