Fibonacci Series in Python

June 29, 2023

Find the Fibonacci Series up to Nth Term in Python

Given an integer as an input, the objective is to find the Fibonacci series until the number input as the Nth term. Therefore, we write a program to Find the Fibonacci Series up to Nth Term in Python Language.

Example
Input : 4
Output : 0 1 1 2

Lets have a look at write a program to print fibonacci series in python

Find the Fibonacci Series up to Nth Term in Python

Find the Fibonacci Series up to Nth Term in Python Language

Given an integer input as the Nth value, the objective is to Find the Fibonacci Series up to the Nth Term using Loops and Recursion. The objective is to print all the number of the Fibonacci series until the Nth term given as an input. Here are some of the methods to solve the above mentioned problem

  • Method 1: Using Simple Iteration
  • Method 2: Using Recursive Function
  • Method 3: Using direct formulae

We’ll discuss the above mentioned methods in detail in the sections below. Do check out the blue box below for better understanding of fibonacci series program in python.

Fibonacci Series in Python

Method 1: Using Simple Iteration

In this method we’ll use loops to iterate through and form the series up to the integer input N as the range. To print the series up to the Nth term we start a loop from 2 to the Nth term as 0 and 1 are the seed values for forming the series. 

Let’s implement the logic in Python Language.

Run

# Write a program to print fibonacci series upto n terms in python
num = 10
n1, n2 = 0, 1
print("Fibonacci Series:", n1, n2, end=" ")
for i in range(2, num):
    n3 = n1 + n2
    n1 = n2
    n2 = n3
    print(n3, end=" ")

print()

Python Code

Output

Fibonacci Series: 0 1 1 2 3 5 8 13 21 34

Armstrong number

Armstrong number in a given range

Fibonacci Series upto nth term 

Find the Nth Term of the Fibonacci Series

Factorial of a number

Power of a number

Method 2: Using Recursive Function

In this method we’ll use recursion to find the Fibonacci Series up to the given integer input as the Nth range. To do so we take three variables and call the recursive function twice in return statement forming a recursion tree. To know more about recursion, Check out our page, Recursion in Python.

Let’s implement the above mentioned logic in Python Language.

Python Code

Run 
# Python program to print Fibonacci Series
def fibonacciSeries(i):
if i <= 1:
return i
else:
return (fibonacciSeries(i - 1) + fibonacciSeries(i - 2))

num=10
if num <=0:
print("Please enter a Positive Number")
else:
print("Fibonacci Series:", end=" ")
for i in range(num):
print(fibonacciSeries(i), end=" ")

Output

Fibonacci Series: 0 1 1 2 3 5 8 13 21 34

Method 3

We can use direct formula to find nth term of Fibonacci Series as –

Fn = {[(√5 + 1)/2] ^ n} / √5

Run 
# write a program to print fibonacci series in python
import math

def fibonacciSeries(phi, n):
    for i in range(0, n + 1):
        result = round(pow(phi, i) / math.sqrt(5))
        print(result, end=" ")


num = 10
phi = (1 + math.sqrt(5)) / 2
fibonacciSeries(phi, num)

Output

Fibonacci Series:0 1 1 2 3 5 8 13 21 34 55

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21 comments on “Fibonacci Series in Python”


  • 4103_ KAVIN S

    n = int(input(“enter the number : “))
    temp = n
    m = [0, 1]
    for i in range (1, temp+1):
    m.append(m[-1] + m[-2])
    print(m)


  • 2001riajain10014

    Dynamic approach for fibonacci series in python:
    memo=[] #create an empty list
    def fibo(n):
    for j in range(n+1):
    memo.append(-1)
    #append items to list

    for i in range(len(memo)):
    #looping through the index of the list

    if i==0:
    memo[0]=1
    if i==1:
    memo[1]=1
    #assign first 2 values

    for i in range(2, n+1):
    memo[i]= memo[i-1] + memo[i – 2]
    return memo
    print(fibo(6))


  • yaswanth

    number=10
    n1=0
    n2=1
    print(“Fibonacci Series”,n1,n2,end=” “)
    for i in range(number-2):
    n3=n1+n2
    n1,n2=n2,n3
    print(n3,end=” “)


  • cherith

    n=int(input())
    list=[]
    def fib(n):
    if n==0 or n==1:
    return n
    else:
    return (fib(n-1)+fib(n-2))
    for i in range(n):
    result=fib(i)
    list.append(result)
    print(list)
    n1=int(input(“enter index number:”))
    print(list[n1])


  • pavan

    def fibonacciSeries(i):
    if i <= 1:
    return i
    else:
    return (fibonacciSeries(i – 1) + fibonacciSeries(i – 2))

    num=int(input("Enter a number:"))
    if num <= 0:
    print("Please enter a Positive Number")
    else:
    print("Fibonacci Series:", end=" ")
    for i in range(num):
    print(fibonacciSeries(i), end=" ")


  • Afzal

    num1=int(input(“enter the value”))
    fib1=int(0)
    fib2=int(1)
    for i in range(num1):
    print(fib1,end=” “)
    fibn=fib1+fib2
    fib1=fib2
    fib2=fibn

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