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: From N/D to n

| Comment 4 of 10 |

(In reply to From N/D to n by Jer)

9/7 + 1 = 16/7, not 13/7

Is this not what you meant?:

so that a135 = 7/13

Edited on August 28, 2016, 10:36 pm

Posted by Charlie on 2016-08-28 22:27:57

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