Hence, we leave the 1st number (index 0) and change the 2nd number (index 1) to the value 1. Hence, we give an additional space because the nth Fibonacci number will have the index value n+1.Īt the creation of the array, all values are ‘0’ by default. But, the index of an array starts from 0. We start by creating an array FibArray of size n+1 – This is because, when we say nth Fibonacci number’, we start counting from 1. In this method, an array of size n is created by repeated addition using the for loop. Once the loop is terminated, the function returns the value of b, which stores the value of the nth Fibonacci number.This process continues and value 3 keeps reassigning until the loop terminates.To put it more simply, after c becomes a+b, a = b and b = c. Subsequently, the value of b is reassigned to the value of c.
Once c takes the value of a+b, the value of a is reassigned to b.
#Fibonacci python recursion series
Consider the series to be quite literally in the sequence of a, b, & c.This variable is used to store the sum of the previous two elements in the series. Over here, we take a storage variable c.This range function means the loop starts with the value 2 and keeps iterating until the value n-1. If n is greater than 2, we take a ‘for’ loop of i in range( 2,n). Then, we return 0 for input value n=1 and 1 for input value n=2 using if-else statements.We take 2 pre-assigned variables a=0 and b=1 – they are the 1st & 2nd elements of the series.However, dynamic programming uses recursion to achieve repeated addition, while this method uses the `for loop’.
This method is almost entirely the same as dynamic programming.
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