5a52c229f5
* fix: clean-up Project Euler 181-200 * fix: corrections from review Co-authored-by: Tom <20648924+moT01@users.noreply.github.com> * fix: missing delimiter Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
41 lines
876 B
Markdown
41 lines
876 B
Markdown
---
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id: 5900f4311000cf542c50ff44
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title: 'Problem 197: Investigating the behaviour of a recursively defined sequence'
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challengeType: 5
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forumTopicId: 301835
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dashedName: problem-197-investigating-the-behaviour-of-a-recursively-defined-sequence
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---
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# --description--
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Given is the function $f(x) = ⌊{2}^{30.403243784 - x^2}⌋ × {10}^{-9}$ ( ⌊ ⌋ is the floor-function), the sequence $u_n$ is defined by $u_0 = -1$ and $u_{n + 1} = f(u_n)$.
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Find $u_n + u_{n + 1}$ for $n = {10}^{12}$. Give your answer with 9 digits after the decimal point.
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# --hints--
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`recursivelyDefinedSequence()` should return `1.710637717`.
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```js
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assert.strictEqual(recursivelyDefinedSequence(), 1.710637717);
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```
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# --seed--
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## --seed-contents--
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```js
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function recursivelyDefinedSequence() {
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return true;
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}
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recursivelyDefinedSequence();
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```
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# --solutions--
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```js
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// solution required
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```
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