Question

Write a function Fibonacci( N) to generate a list with a Fibonacci series of numbers, given the length of the series. The first two numbers in the series are 1 and 1 . Following these, each number of the series is calculated as the sum of the previous two numbers. The function should return the generated list

Answer 1

The Fibonacci(N) function in Python generates a list containing a Fibonacci series of length N. It correctly handles cases where N is less than or equal to zero, or when N is 1, otherwise it appends the sum of the last two numbers in the current list until the desired length is reached.

Step-by-step explanation:

Write a Function to Generate Fibonacci SeriesTo write a function Fibonacci(N) that generates a list with a Fibonacci series of a given length N, you would start with the first two numbers in the series, which are 1 and 1. Every subsequent number in the series is the sum of the previous two numbers. Below is a sample code written in Python to accomplish this:

def Fibonacci(N):
if N <= 0:
return []
elif N == 1:
return [1]
fib_series = [1, 1]
while len(fib_series) < N:
next_value = fib_series[-1] + fib_series[-2]
fib_series.append(next_value)
return fib_series

This function first checks if N is less than or equal to zero, in which case it returns an empty list, as a series cannot have a negative or zero length. If N is 1, it returns a list containing only the first number of the Fibonacci series. Otherwise, the function initializes a list with the first two Fibonacci numbers and then enters a loop where it continues to append subsequent numbers by adding the last two numbers of the series until the list reaches the desired length N.