62 lines
870 B
Markdown
62 lines
870 B
Markdown
---
|
||
id: 5900f3721000cf542c50fe85
|
||
title: 问题6:求和方差
|
||
challengeType: 5
|
||
videoUrl: ''
|
||
---
|
||
|
||
# --description--
|
||
|
||
前十个自然数的平方和是,
|
||
|
||
1
|
||
|
||
<sup>2</sup>
|
||
|
||
- 2
|
||
|
||
<sup>2</sup>
|
||
|
||
- ... + 10
|
||
|
||
<sup>2</sup>
|
||
|
||
= 385
|
||
|
||
前十个自然数之和的平方是,
|
||
|
||
(1 + 2 + ... + 10)
|
||
|
||
<sup>2</sup>
|
||
|
||
= 55
|
||
|
||
<sup>2</sup>
|
||
|
||
= 3025
|
||
|
||
因此,前十个自然数的平方和与和的平方之间的差值为3025 - 385 = 2640.求出前`n`自然数的平方和与总和的平方之间的差值。
|
||
|
||
# --hints--
|
||
|
||
`sumSquareDifference(10)`应该返回2640。
|
||
|
||
```js
|
||
assert.strictEqual(sumSquareDifference(10), 2640);
|
||
```
|
||
|
||
`sumSquareDifference(20)`应该返回41230。
|
||
|
||
```js
|
||
assert.strictEqual(sumSquareDifference(20), 41230);
|
||
```
|
||
|
||
`sumSquareDifference(100)`应该返回25164150。
|
||
|
||
```js
|
||
assert.strictEqual(sumSquareDifference(100), 25164150);
|
||
```
|
||
|
||
# --solutions--
|
||
|