Difference between sum of square and square of sum in JavaScript

We are required to write a JavaScript function that takes a number, say n, as the one and the only input.

The function should −

• Calculate the sum of squares of the first n natural numbers.

• Calculate the square of sums of first n natural numbers.

• Return the absolute difference between the both figures obtained.

For example: If n = 5;

Then,

sum of squares = 1 + 4 + 9 + 16 + 25 = 55
square of sums = 15 * 15 = 225

Hence, output = 225 − 55 = 170

Example

The code for this will be −

const squareDifference = (num = 1) => {
   let x = 0;
   let y = 0;
   let i = 0;
   let j = 0;
   // function to compute the sum of squares
   (function sumOfSquares() {
      while (i <= num) {
         x += Math.pow(i, 2);
         i++;
      }
      return x;
   }());
   // function to compute the square of sums
   (function squareOfSums() {
      while (j <= num) {
         y += j;
         j++;
      }
      y = Math.pow(y, 2);
      return y;
   }());
   // returning the absolute difference
   return Math.abs(y − x);
};
console.log(squareDifference(1));
console.log(squareDifference(5));
console.log(squareDifference(10));
console.log(squareDifference(15));

Output

And the output in the console will be −

0
170
2640
13160

AmitDiwan

Published on 25-Nov-2020 12:10:56

• Related Questions & Answers
• Difference between sum of the squares of and square of sum first n natural numbers.
• Sum of Square Numbers in C++
• Squared and square rooted sum of numbers of an array in JavaScript
• Sum of square of first n odd numbers
• Sum of square-sums of first n natural numbers
• Integers have sum of squared divisors as perfect square in JavaScript
• A square matrix as sum of symmetric and skew-symmetric matrix ?
• Difference between sum and product of an array in JavaScript
• Difference between product and sum of digits of a number in JavaScript
• Square and Square root in Arduino
• Print maximum sum square sub-matrix of given size in C Program.
• PHP program to calculate the sum of square of first n natural numbers
• Building an array of specific size with consecutive element sum being perfect square in JavaScript
• Count of pairs in an array whose sum is a perfect square in C++
• Square every digit of a number - JavaScript