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Prove Phi's Peculiar Property (Posted on 2016-10-17)

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)	Jer	2016-10-19 12:57:58
A different approach (spoiler)	Harry	2016-10-18 18:44:16
Possible solution	broll	2016-10-18 05:25:42

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