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freeCodeCamp/guide/english/certifications/coding-interview-prep/project-euler/problem-6-sum-square-difference/index.md
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Sum square difference

Problem 6: Sum square difference

Problem Explanation

  • Sum of first n natural numbers can be calculated by using this formula:

    • sum of n numbers

  • Sum of squares of n natural numbers can be calculated by using this formula:

    • sum of n squares

  • We can calculate the values using the above formula and subtract them to get the result.

Solutions

Solution 1 (Click to Show/Hide) 
function sumSquareDifference(n) {
  const sumOfN = (n*(n+1))/2;
  const sumOfNSquare = (n*(n+1)*(2*n+1))/6;
  
  //** is exponentaial operator added in ES7, it's equivalent to Math.pow(num, 2)`
  return (sumOfN ** 2) - sumOfNSquare;
}

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