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Prove Phi's Peculiar Property (Posted on 2016-10-17) Difficulty: 3 of 5
The golden ratio number φ = (1+√5)/2 possesses many interesting properties.

inter alia
For any even integer n: φn + 1 /φn is an integer
For any odd integer n: φn - 1 /φn is an integer

Prove the above.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re: A different approach (spoiler) Comment 3 of 3 |
(In reply to A different approach (spoiler) by Harry)

When submitting a problem you can use φ or Φ but you can't in the comment.  

Ady originally used phi in the problem but I switched it to φ.

In the previous sentence I copied and pasted from an instance of the Greek letter in the problem.  This sometimes results in anything else I type getting put in a grey highlight.

  Posted by Jer on 2016-10-19 12:57:58
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