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Fibonacci sequence

Author:
September 6th, 2022

Using

Fn+3 = Fn+2 + Fn+1

show that

Fn+3 + Fn = 2Fn + 2

and

Fn + 3 – Fn = 2Fn + 1

It seems intuitive at first but would appreciate a detailed explanation – how does one identify the terms to be used?

Thank you

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