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Over fourteen (Posted on 2011-12-02) Difficulty: 3 of 5
The sequence a(1),a(2),a(3),..., is formed according to the recursive rule a(1)=1, a(2)=a(1)+1/a(1),..., a(n+1)=a(n)+1/a(n), ...
Prove that a(100) > 14.

No direct evaluation, of course.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.6667 (3 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsre: Solution(Correction)==> WELCOME...Ady TZIDON2011-12-06 16:27:44
SolutionSolution(Correction)John Dounis2011-12-06 13:41:54
SolutionSolution(somewhat messy :D)John Dounis2011-12-06 13:24:30
Some ThoughtsSome thoughtsbroll2011-12-04 03:38:00
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