Tutorial Gateway

  • C
  • C#
  • Java
  • Python
  • SQL
  • MySQL
  • Js
  • BI Tools
    • Informatica
    • Talend
    • Tableau
    • Power BI
    • SSIS
    • SSRS
    • SSAS
    • MDX
    • R Tutorial
    • QlikView
  • More
    • C Programs
    • C++ Programs
    • Python Programs
    • Java Programs
    • SQL FAQ’s

C Program to Find Sum of series 1²+2²+3²+….+n²

by suresh

How to write a C Program to Find Sum of series 1²+2²+3²+….+n² using For Loop, and Functions with example. Before we get into the example, The Mathematical formula for C Program to find Sum of series 1²+2²+3²+….+n² = ( n (n+1) (2n+1)) / 6

C Program to Find Sum of series 1²+2²+3²+….+n²

In this C program, the user asked to enter any positive integer. Then using that value, the compiler will find the sum of series 12 + 22 + 32 + … + n2 using the above formula.

/* C Program to Calculate Sum of series 1²+2²+3²+....+n² */
#include <stdio.h>

int main()
{
  int Number, Sum = 0;

  printf("\n Please Enter any positive integer \n");
  scanf(" %d",&Number);

  Sum = (Number * (Number + 1) * (2 * Number + 1 )) / 6;
 
  printf("\n The Sum of Series for %d = %d ",Number, Sum);

}

OUTPUT

C Program to Find Sum of series 1²+2²+3²+....+n² 1

ANALYSIS

Within the main() function, We declared 2 integer variables Number and Sum. Below printf statement will ask the user to enter any integer value.

 printf("\n Please Enter any positive integer \n");

Below C Programming scanf statement will assign the user integer value to the variable name Number

scanf(" %d",&Number);

In the next line, We are calculating the Sum of the series 1²+2²+3²+4²+5² using above formula
Sum = (Number * (Number + 1) * (2 * Number + 1 )) / 6;
Sum = (5 * (5 + 1) * (2 * 5 +1)) / 6
Sum = (5 * 6 * 11) / 6
Sum = 330 /6
Sum = 55

The C Program to Find Sum of series 1²+2²+3²+….+n² final output for 5 = 55

C Program to calculate Sum of series 1²+2²+3²+….+n²

If you want to display the series order 12 + 22 + 32 +42 + 52 in the program output, then we have to add extra For loop to display as below

/* C Program to Calculate Sum of series 1²+2²+3²+....+n² */
#include <stdio.h>

int main()
{
  int Number, i, Sum = 0;

  printf("\nPlease Enter any positive integer \n");
  scanf("%d",&Number);

  Sum = (Number * (Number + 1) * (2 * Number + 1 )) / 6;
  
  for(i =1; i<=Number;i++)
  {
    if (i != Number)
       printf("%d^2 + ",i);
    
    else
       printf("%d^2 = %d ",i, Sum);
  }
}

OUTPUT

C Program to Find Sum of series 1²+2²+3²+....+n² 2

ANALYSIS

The For loop inside the main function will traverse each member and displays the output

 for(i =1; i<=Number; i++)
  {
    if (i != Number)
       printf("%d^2 + ",i);
    else
       printf("%d^2 = %d ",i, Sum);
  }

In the above screenshot, the user entered value is 4 So,

Sum = (Number * (Number + 1) * (2 * Number + 1 )) / 6;
Sum = (4 * (4 + 1) * (2 * 4 +1))/6
Sum = (4 * 5 * 9) / 6
= 180 /6
Sum = 30

Now, the compiler will enter into for loop

First Iteration
i = 1, so the condition inside the for loop (i <= Number) is TRUE (1 <=4). Next, It will go to if condition (i != Number). It means (1 != 4) – Which is TRUE. So, it will print the output as 1²+

i = 2. Repeat the same until i reaches 4. When i = 4, if condition fails. So, the Else statement is printed.

The final Output will be 1²+2²+3²+4² = 30

C Program to Find Sum of series 1²+2²+3²+….+n² using Functions

In this C program, the user enters any positive integer and then using that value, compiler will find the sum of series 12 + 22 + 32 + … + n2 using functions.

/* C Program to Calculate Sum of series 1²+2²+3²+....+n² */
#include <stdio.h>

void Sum_Of_Series(int);

int main()
{
  int Number;

  printf("\n Please Enter any positive integer \n");
  scanf("%d",&Number);

  Sum_Of_Series(Number);
}

void Sum_Of_Series(int Number)
{
  int i, Sum;
  Sum = (Number * (Number + 1) * (2 * Number + 1 )) / 6;
  
  for(i =1;i<=Number;i++)
  {
   if (i != Number)
     printf("%d^2&nbsp; + ",i);
   else
     printf(" %d^2 = %d ", i, Sum); 
  } 
}

OUTPUT

C Program to Find Sum of series 1²+2²+3²+....+n² using functions

Program to Find Sum of series 1²+2²+3²+….+n² using Recursion

Please refer to Find Sum of series 1²+2²+3²+….+n² using Recursion in Recursion Article to see the code and working principle.

Placed Under: C Programs

  • C Hello World
  • C Add Two numbers
  • C Armstrong Number Program
  • C Convert Celsius to Fahrenheit
  • C Convert Decimal to Binary
  • C Convert Decimal to Octal
  • C Convert CM to Meter and KM
  • C Convert KM to M, CM & MM
  • C Convert Fahrenheit to Celsius
  • C Compound Interest Program
  • C Count Digits in a Number
  • C Count Notes in an Amount
  • C Cube of a Number
  • C Electricity Bill Program
  • C Factors of a Number Program
  • C Factorial of a Number Program
  • C GCD of Two Numbers
  • C Generic Root of a Number
  • C Gross Salary of an Employee
  • C Largest of Two Numbers
  • C Largest of Three numbers
  • C Last Digit Of a Number
  • C LCM of Two Numbers
  • C Leap Year program
  • C Multiplication Table program
  • C Natural Numbers from 1 to N
  • C Natural Numbers in reverse
  • C NCR Factorial of a Number
  • C Number is Divisible by 5 and 11
  • C Palindrome Program
  • C Palindrome String program
  • C Perfect Number Program
  • C Profit or Loss Program
  • C Print 1 to 100
  • C Print Prime Numbers 1 to 100
  • C Prime Number program
  • C Prime Factors of a Number
  • C Prime, Armstrong or Perfect
  • C Positive or Negative program
  • C Print Odd Numbers 1 to N
  • C Print Even Numbers 1 to N
  • C Print Integer, Char & Float
  • C Power of a Number program
  • C Product of Digits in a Number
  • C Roots of a Quadratic Equation
  • C Reverse a Number
  • C Simple Calculator Program
  • C Simple Interest
  • C Square of a Number
  • C Square Root of a Number
  • C Standard Deviation program
  • C Strong Number Program
  • C Student Grade program
  • C Sum of Odd Numbers program
  • C Sum of Even Nums program
  • C Sum of Even and Odd Nums
  • C Swap First & Last digit of Num
  • C Sum of First & Last digit Num
  • C Sum of Digits of a Number
  • C Sum of N Numbers Program
  • C Sum and Average of n Number
  • C Swap 2 Numbers
  • C Total, Avg & % of Five Subjects
  • C Quick Sort
  • C Selection Sort
  • C Insertion Sort
  • C Bubble Sort
  • C Fibonacci Series Program
  • C Nth Fibonacci number
  • C Sum of AP Series
  • C Sum of GP Series
  • C Sum of series 1³+2³+3³+….+n³
  • C Sum of series 1²+2²+3²+….+n²
  • C ASCII value of String chars
  • C Print Characters in a String
  • C Compare Two Strings
  • C Concatenate Two Strings
  • C Copy String
  • C String length program
  • C Convert String to Lowercase
  • C First Occurrence of string char
  • C First Occur of String Word
  • C Count Occur of string Char
  • C Count Alphabets, Digits & Special Chars
  • C Count Vowels & Consonants
  • C string remove all Occ of char
  • C remove 1st Occ of char in string
  • C remove last Occ char in string
  • C replace All Occ of char in string
  • C Replace last Occ of String Char
  • C Replace 1st occ char in string
  • C Reverse words Order in string
  • C Reverse a String
  • C Toggle Case of all char in string
  • C Array Arithmetic Operations
  • C Matrix Arithmetic Operations
  • C Count Frequency of array item
  • C Count Duplicate Array items
  • C Count +ve & -Ve Array items
  • C Count Even & Odd Array items
  • C Copy an Array to another
  • C Delete Duplicate Array items
  • C Delete an Element in an Array
  • C insert an Element in an Array
  • C 2nd largest Number in an Array
  • C Find Largest Array Number
  • C Find Smallest Array Number
  • C Largest & Smallest Array item
  • C Merge Two Arrays
  • C Print Unique Array Elements
  • C Print Arrayy Elements
  • C Print Negative Array Numbers
  • C Print Positive Array Numbers
  • C Put +ve & -Ve in 2 Arrays
  • C Put Even & Odd in 2 Arrays
  • C Program to Reverse an Array
  • C Search an Element in an Array
  • C Sum of array even, odd nums
  • C Sort Array in Ascending Order
  • C Sort Array in Descending
  • C Swap 2 Arrays without Temp
  • C Sum of all Array Elements
  • C Sum of each Matrix column
  • C sum of each row in a Matrix
  • C Sum of Matrix row & column
  • C Add Two Matrices
  • C Sparse Matrix
  • C Symmetric Matrix
  • C Identity Matrix
  • C Interchange Matrix Diagonals
  • C Check two Matrices Equal
  • C Lower Triangle of a Matrix
  • C Upper Triangle of a Matrix
  • C Sum of Lower Triangle Matrix
  • C Sum of Upper Triangle Matrix
  • C Subtract Two Matrices
  • C Transpose of a Matrix program
  • C Cuboid Volume & Surface Area
  • C Cone Volume & Surface Area
  • C Cube Volume & Surface Area
  • C Volume & Surface of Cylinder
  • C Volume & Surface of Sphere
  • C Tutorial
  • C# Tutorial
  • Java Tutorial
  • JavaScript Tutorial
  • Python Tutorial
  • MySQL Tutorial
  • SQL Server Tutorial
  • R Tutorial
  • Power BI Tutorial
  • Tableau Tutorial
  • SSIS Tutorial
  • SSRS Tutorial
  • Informatica Tutorial
  • Talend Tutorial
  • C Programs
  • C++ Programs
  • Java Programs
  • Python Programs
  • MDX Tutorial
  • SSAS Tutorial
  • QlikView Tutorial

Copyright © 2021 | Tutorial Gateway· All Rights Reserved by Suresh

Home | About Us | Contact Us | Privacy Policy