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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-197-investigating-the-behaviour-of-a-recursively-defined-sequence.md
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---
id: 5900f4311000cf542c50ff44
challengeType: 5
title: 'Problem 197: Investigating the behaviour of a recursively defined sequence'
forumTopicId: 301835
---
## Description
<section id='description'>
Given is the function f(x) = ⌊230.403243784-x2⌋ × 10-9 ( ⌊ ⌋ is the floor-function),
the sequence un is defined by u0 = -1 and un+1 = f(un).
Find un + un+1 for n = 1012.
Give your answer with 9 digits after the decimal point.
</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler197()</code> should return 1.710637717.
testString: assert.strictEqual(euler197(), 1.710637717);
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler197() {
return true;
}
euler197();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>