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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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  Subject Author Date
re: A different approach (spoiler)Jer2016-10-19 12:57:58
A different approach (spoiler)Harry2016-10-18 18:44:16
Some ThoughtsPossible solutionbroll2016-10-18 05:25:42
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