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							|  |  |  | id: 597f24c1dda4e70f53c79c81 | 
					
						
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										 |  |  | title: Fibonacci sequence | 
					
						
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										 |  |  | challengeType: 5 | 
					
						
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										 |  |  | forumTopicId: 302268 | 
					
						
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											2021-01-13 03:31:00 +01:00
										 |  |  | dashedName: fibonacci-sequence | 
					
						
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										 |  |  | # --description--
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											2019-06-14 20:04:16 +09:00
										 |  |  | Write a function to generate the <code>n<sup>th</sup></code> Fibonacci number. | 
					
						
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										 |  |  | The <code>n<sup>th</sup></code> Fibonacci number is given by: | 
					
						
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										 |  |  | <code>F<sub>n</sub> = F<sub>n-1</sub> + F<sub>n-2</sub></code> | 
					
						
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										 |  |  | The first two terms of the series are 0 and 1. | 
					
						
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										 |  |  | Hence, the series is: 0, 1, 1, 2, 3, 5, 8, 13... | 
					
						
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										 |  |  | # --hints--
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										 |  |  | `fibonacci` should be a function. | 
					
						
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										 |  |  | ```js | 
					
						
							|  |  |  | assert(typeof fibonacci === 'function'); | 
					
						
							|  |  |  | ``` | 
					
						
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										 |  |  | `fibonacci(2)` should return a number. | 
					
						
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										 |  |  | ```js | 
					
						
							|  |  |  | assert(typeof fibonacci(2) == 'number'); | 
					
						
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										 |  |  | ``` | 
					
						
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										 |  |  | `fibonacci(3)` should return 2. | 
					
						
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										 |  |  | ```js | 
					
						
							|  |  |  | assert.equal(fibonacci(3), 2); | 
					
						
							|  |  |  | ``` | 
					
						
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										 |  |  | `fibonacci(5)` should return 5. | 
					
						
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							|  |  |  | ```js | 
					
						
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										 |  |  | assert.equal(fibonacci(5), 5); | 
					
						
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										 |  |  | ``` | 
					
						
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										 |  |  | `fibonacci(10)` should return 55. | 
					
						
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							|  |  |  | ```js | 
					
						
							|  |  |  | assert.equal(fibonacci(10), 55); | 
					
						
							|  |  |  | ``` | 
					
						
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										 |  |  | # --seed--
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										 |  |  | ## --seed-contents--
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										 |  |  | ```js | 
					
						
							|  |  |  | function fibonacci(n) { | 
					
						
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										 |  |  | } | 
					
						
							|  |  |  | ``` | 
					
						
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										 |  |  | # --solutions--
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							|  |  |  | ```js | 
					
						
							|  |  |  | function fibonacci(n) { | 
					
						
							|  |  |  |   let a = 0, b = 1, t; | 
					
						
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										 |  |  |   while (--n >= 0) { | 
					
						
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										 |  |  |     t = a; | 
					
						
							|  |  |  |     a = b; | 
					
						
							|  |  |  |     b += t; | 
					
						
							|  |  |  |   } | 
					
						
							|  |  |  |   return a; | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | ``` |