Skip to content

Courses
Tutorials
Practice
Contests

Python Tutorial
Interview Questions
Python Quiz
Python Glossary
Python Projects
Practice Python
Data Science With Python
Python Web Dev
DSA with Python
Python OOPs

Python program to print Aitken's array

Python Program to Print the Natural Numbers Summation Pattern

Last Updated : 04 Jun, 2022

Comments

Improve

Suggest changes

Like Article

Like

Report

Given a natural number n, the task is to write a Python program to first find the sum of first n natural numbers and then print each step as a pattern.

Input: 5

Output:

1 = 1
1 + 2 = 3
1 + 2 + 3 = 6
1 + 2 + 3 + 4 = 10
1 + 2 + 3 + 4 + 5 = 15

Input: 10

Output:

1 = 1

1 + 2 = 3

1 + 2 + 3 = 6

1 + 2 + 3 + 4 = 10

1 + 2 + 3 + 4 + 5 = 15

1 + 2 + 3 + 4 + 5 + 6 = 21

1 + 2 + 3 + 4 + 5 + 6 + 7 = 28

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

Approach:

Take Input n.
Use two loops:
- j ranging between 1 to n.
- i ranging between 1 to j.
Print the value of i and ‘+’ operator while appending the value of i to a list.
Then Find the Sum of Elements in the List.
Print “=” with Total Sum.
Exit.

Program:

Python3

   # Inputing Natural Number
number = int(input("Enter the Natural Number: "))
 
# j ranges from 1 to n
for j in range(1, number+1):
 
    # Initializing List
    a = []
 
    # i loop ranges from 1 to j
    for i in range(1, j+1):
        print(i, sep=" ", end=" ")
        if(i < j):
            print("+", sep=" ", end=" ")
        a.append(i)
    print("=", sum(a))
 
print()
 
  

Output:

Enter the Natural Number: 5

1 = 1

1 + 2 = 3

1 + 2 + 3 = 6

1 + 2 + 3 + 4 = 10

1 + 2 + 3 + 4 + 5 = 15

Time Complexity: O(n²), where n represents the given input.
Auxiliary Space: O(1), no extra space is required, so it is a constant.

Python program to print Aitken's array

J

jagroopofficial

Improve

Article Tags :

Python
Python Programs
Technical Scripter
Technical Scripter 2020

Practice Tags :

python

Similar Reads

Python 3 | Program to print double sided stair-case pattern

Below mentioned is the Python 3 program to print the double-sided staircase pattern. Examples: Input: 10Output: * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * Note: This code only works for even values of n. Example1 The given

Python Program to print digit pattern

The program must accept an integer N as the input. The program must print the desired pattern as shown in the example input/ output. Examples: Input : 41325 Output : |**** |* |*** |** |***** Explanation: for a given integer print the number of *'s that are equivalent to each digit in the integer. He

Python Program to Find the Sum of Natural Numbers Using While Loop

Calculating the Sum of N numbers in Python using while loops is very easy. In this article, we will understand how we can calculate the sum of N numbers in Python using while loop. Calculate Sum of Natural Numbers in Python Using While LoopBelow are some of the examples by which we can see how we ca

Python Program for Print Number series without using any loop

Problem - Givens Two number N and K, our task is to subtract a number K from N until number(N) is greater than zero, once the N becomes negative or zero then we start adding K until that number become the original number(N). Note : Not allow to use any loop. Examples : Input : N = 15 K = 5 Output :

Python program to print Aitken's array

Given a number n. The task is to print the Aikten's array upto n. Examples: Input: 5 Output: [1] [1, 2] [2, 3, 5] [5, 7, 10, 15] [15, 20, 27, 37, 52] Input: 7 Output: [1] [1, 2] [2, 3, 5] [5, 7, 10, 15] [15, 20, 27, 37, 52] [52, 67, 87, 114, 151, 203] [203, 255, 322, 409, 523, 674, 877] To print it

Python program to display half diamond pattern of numbers with star border

Given a number n, the task is to write a Python program to print a half-diamond pattern of numbers with a star border. Examples: Input: n = 5 Output: * *1* *121* *12321* *1234321* *123454321* *1234321* *12321* *121* *1* * Input: n = 3 Output: * *1* *121* *12321* *121* *1* * Approach: Two for loops w

Python Program to get K length groups with given summation

Given a list, our task is to write a Python program to extract all K length sublists with lead to given summation. Input : test_list = [6, 3, 12, 7, 4, 11], N = 21, K = 4 Output : [(6, 6, 6, 3), (6, 6, 3, 6), (6, 3, 6, 6), (6, 7, 4, 4), (6, 4, 7, 4), (6, 4, 4, 7), (3, 6, 6, 6), (3, 3, 3, 12), (3, 3,

Python Program to print hollow half diamond hash pattern

Give an integer N and the task is to print hollow half diamond pattern. Examples: Input : 6 Output : # # # # # # # # # # # # # # # # # # # # Input : 7 Output : # # # # # # # # # # # # # # # # # # # # # # # # Approach: The idea is to break the pattern into two parts: Upper part: For the upper half st

Python program to compute arithmetic operation from String

Given a String with the multiplication of elements, convert to the summation of these multiplications. Input : test_str = '5x10, 9x10, 7x8' Output : 196 Explanation : 50 + 90 + 56 = 196. Input : test_str = '5x10, 9x10' Output : 140 Explanation : 50 + 90 = 140. Method 1 : Using map() + mul + sum() +

Python Program for cube sum of first n natural numbers

We are given a number n and we need to print the sum of series 13 + 23 + 33 + 43 + .......+ n3 till the n-th term in python. Examples: Input: n = 5Output: 225Explanation: 13 + 23 + 33 + 43 + 53 = 225 Let's discuss some of the ways to do it. Using Mathematical Formula: Most efficient solution is to u

Corporate & Communications Address:

A-143, 7th Floor, Sovereign Corporate Tower, Sector- 136, Noida, Uttar Pradesh (201305)

Registered Address:

K 061, Tower K, Gulshan Vivante Apartment, Sector 137, Noida, Gautam Buddh Nagar, Uttar Pradesh, 201305

Advertise with us

Company
About Us
Legal
Privacy Policy
In Media
Contact Us
Advertise with us
GFG Corporate Solution
Placement Training Program

Languages
Python
Java
C++
PHP
GoLang
SQL
R Language
Android Tutorial
Tutorials Archive

DSA
Data Structures
Algorithms
DSA for Beginners
Basic DSA Problems
DSA Roadmap
Top 100 DSA Interview Problems
DSA Roadmap by Sandeep Jain
All Cheat Sheets

Data Science & ML
Data Science With Python
Data Science For Beginner
Machine Learning
ML Maths
Data Visualisation
Pandas
NumPy
NLP
Deep Learning

Web Technologies
HTML
CSS
JavaScript
TypeScript
ReactJS
NextJS
Bootstrap
Web Design

Python Tutorial
Python Programming Examples
Python Projects
Python Tkinter
Python Web Scraping
OpenCV Tutorial
Python Interview Question
Django

Computer Science
Operating Systems
Computer Network
Database Management System
Software Engineering
Digital Logic Design
Engineering Maths
Software Development
Software Testing

DevOps
Git
Linux
AWS
Docker
Kubernetes
Azure
GCP
DevOps Roadmap

System Design
High Level Design
Low Level Design
UML Diagrams
Interview Guide
Design Patterns
OOAD
System Design Bootcamp
Interview Questions

Inteview Preparation
Competitive Programming
Top DS or Algo for CP
Company-Wise Recruitment Process
Company-Wise Preparation
Aptitude Preparation
Puzzles

School Subjects
Mathematics
Physics
Chemistry
Biology
Social Science
English Grammar
Commerce
World GK

GeeksforGeeks Videos
DSA
Python
Java
C++
Web Development
Data Science
CS Subjects

@GeeksforGeeks, Sanchhaya Education Private Limited, All rights reserved

We use cookies to ensure you have the best browsing experience on our website. By using our site, you acknowledge that you have read and understood our Cookie Policy & Privacy Policy

Improvement

Suggest Changes

Help us improve. Share your suggestions to enhance the article. Contribute your expertise and make a difference in the GeeksforGeeks portal.

geeksforgeeks-suggest-icon

Create Improvement

Enhance the article with your expertise. Contribute to the GeeksforGeeks community and help create better learning resources for all.

geeksforgeeks-improvement-icon

Suggest Changes

min 4 words, max Words Limit:1000

Thank You!

Your suggestions are valuable to us.

What kind of Experience do you want to share?

Interview Experiences

Admission Experiences

Career Journeys

Work Experiences

Campus Experiences

Competitive Exam Experiences