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Evaluate this sum (Posted on 2005-12-21) Difficulty: 4 of 5
Evaluate this sum in terms of n (the number of terms):
        1      2       4        8          16         
   S = --- + ----- + ----- + ------- + ---------- + ..... 
        2      5       41     3,281    21,523,361              

  Submitted by pcbouhid    
Rating: 4.3333 (3 votes)
Solution: (Hide)
S = 1 - 2^(n + 1) / (3^(2^n) - 1)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsPuzzle AnswerK Sengupta2023-12-10 19:58:29
re(3): Solution - to goFishpcbouhid2005-12-24 13:11:49
SolutionSolution - Spoilerdopey9152005-12-22 11:54:14
re(2): SolutiongoFish2005-12-22 11:47:12
re: Progress?MindRod2005-12-22 10:35:51
re(2): SolutiongoFish2005-12-22 10:02:31
Some ThoughtsProgress?dopey9152005-12-22 09:39:28
re: Solutionpcbouhid2005-12-22 08:13:45
SolutionSolutiongoFish2005-12-22 03:58:28
Some Thoughtsre(3): Using Charlie's idea (spoiler?) -- numerical verificationBractals2005-12-21 18:24:45
re(2): Using Charlie's idea (spoiler?) -- numerical verificationCharlie2005-12-21 16:18:45
re: Using Charlie's idea (spoiler?)Charlie2005-12-21 15:54:00
Some ThoughtsPartial SolutionBractals2005-12-21 15:20:41
Some ThoughtsUsing Charlie's idea (spoiler?)Bob Smith2005-12-21 14:51:24
Some ThoughtsideasCharlie2005-12-21 12:17:26
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