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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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Hints/Tips re: OEIS...........so what? | Comment 2 of 10 |
(In reply to OEIS by Brian Smith)

BS,

The task was to Prove that every positive rational number occurs in the sequence exactly once. <copied & pasted>

Assume a number, say n/d, and show that it must appear in the sequence


  Posted by Ady TZIDON on 2016-08-27 16:56:39
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