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Limit of the sequence? (Posted on 2008-01-06) Difficulty: 2 of 5
What is the limit of the sequence? a(k) = (1+2+3+...+k)/(1*2*3*...*k)

  Submitted by Chesca Ciprian    
Rating: 2.1667 (6 votes)
Solution: (Hide)
If we rewrite the a(k) term we can find a(k) = k*(k+1)/(2*k!) and after little transformation the term a(k) = 1/(2*(k-2)!) + 1/((k-1)!). Because 1/k! is "going" to e the answer is e+e/2 = 3*e/2 = 4.077

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle AnswerK Sengupta2023-09-06 08:18:19
Puzzle AnswerK Sengupta2023-09-06 08:18:15
re: The solution was givenCharlie2008-02-08 11:04:37
The solution was givenPeter2008-02-07 11:22:37
re(2): SolutionKurious2008-01-07 09:27:06
Diverse explanationsbrianjn2008-01-07 08:45:32
No SubjectTim2008-01-07 00:58:50
re: SolutionBrian Smith2008-01-07 00:22:19
SolutionBrian Smith2008-01-07 00:19:47
SolutionSolutionKurious2008-01-06 16:46:35
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