2018-09-30 22:01:58 +00:00
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---
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id: 5900f4311000cf542c50ff44
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challengeType: 5
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title: 'Problem 197: Investigating the behaviour of a recursively defined sequence'
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---
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## Description
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<section id='description'>
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Given is the function f(x) = ⌊230.403243784-x2⌋ × 10-9 ( ⌊ ⌋ is the floor-function),
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the sequence un is defined by u0 = -1 and un+1 = f(un).
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Find un + un+1 for n = 1012.
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Give your answer with 9 digits after the decimal point.
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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2018-10-04 13:37:37 +00:00
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tests:
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- text: <code>euler197()</code> should return 1.710637717.
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2018-10-20 18:02:47 +00:00
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testString: assert.strictEqual(euler197(), 1.710637717, '<code>euler197()</code> should return 1.710637717.');
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2018-09-30 22:01:58 +00:00
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler197() {
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// Good luck!
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return true;
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}
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euler197();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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