perplexus.info :: Sequences : All rational numbers in

All rational numbers in (Posted on 2016-08-26)

The infinite sequence is defined as follows:
a₁=1
for n ≥ 1, a_2n= a_n+1
a_2n+1=1/ a_2n

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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