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All rational numbers in (Posted on 2016-08-26) Difficulty: 3 of 5
The infinite sequence is defined as follows:
a1=1
for n ≥ 1, a2n= an+1
a2n+1=1/ a2n

Prove that every positive rational number occurs in the sequence exactly once.

No Solution Yet Submitted by Ady TZIDON    
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re(2): From N/D to n @ jer & Charlie | Comment 8 of 10 |
(In reply to re: From N/D to n @ jer & Charlie by Ady TZIDON)

I assure you I had made no edit at the time of your accusation.


I have now made an edit to fix the typo Charlie pointed out.  Although I made a different change to fix it than the one he suggested.

  Posted by Jer on 2016-08-29 08:44:19
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