45 lines
		
	
	
		
			685 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			45 lines
		
	
	
		
			685 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f4571000cf542c50ff6a | ||
|  | title: 'Problem 235: An Arithmetic Geometric sequence' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 301879 | ||
|  | dashedName: problem-235-an-arithmetic-geometric-sequence | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | Given is the arithmetic-geometric sequence u(k) = (900-3k)rk-1. | ||
|  | 
 | ||
|  | Let s(n) = Σk=1...nu(k). | ||
|  | 
 | ||
|  | Find the value of r for which s(5000) = -600,000,000,000. | ||
|  | 
 | ||
|  | Give your answer rounded to 12 places behind the decimal point. | ||
|  | 
 | ||
|  | # --hints--
 | ||
|  | 
 | ||
|  | `euler235()` should return 1.002322108633. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler235(), 1.002322108633); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler235() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler235(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |