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.
(In reply to Solution(Correction)
by John Dounis)
You did not need to post twice- 1.messy and then 2.corrected
You are free to edit your post , even several times.
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