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Randell Dawson 1494a50123 fix(guide): restructure curriculum guide articles (#36501)
* fix: restructure certifications guide articles
* fix: added 3 dashes line before prob expl
* fix: added 3 dashes line before hints
* fix: added 3 dashes line before solutions
2019-07-24 13:29:27 +05:30

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---
title: 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](https://wikimedia.org/api/rest_v1/media/math/render/svg/99476e25466549387c585cb4de44e90f6cbe4cf2)
- Sum of squares of n natural numbers can be calculated by using this formula:
- ![sum of n squares](https://wikimedia.org/api/rest_v1/media/math/render/svg/ae043bef33d41161541238bdbf4feca9f5e179dd)
- We can calculate the values using the above formula and subtract them to get the result.
---
## Solutions
<details><summary>Solution 1 (Click to Show/Hide)</summary>
```js
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;
}
```
#### Relevant Links
- [Sum of n numbers - Wikipedia](https://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%8B%AF)
- [Sum of n square numbers - Wikipedia](https://en.wikipedia.org/wiki/Square_pyramidal_number)
</details>