Question: Let (phi)=(1+sqrt(5))/2 and (phi)'=(1-sqrt(5))/2=-1/(phi). Provethat (phi)^n+(phi)^('n) is an integer. I have no idea how to start this problem. Any advice would begreatly appreciated. Please explain

Let (phi)=(1+sqrt(5))/2 and (phi)'=(1-sqrt(5))/2=-1/(phi). Provethat (phi)^n+(phi)^('n) is an integer.

I have no idea how to start this problem. Any advice would begreatly appreciated. Please explain your thought process in greatdetail as i need to understand this proof. Thankyou so much foryour time.

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