Fibonacci sequence

I have from a previous question these answers:

Fn+3 = Fn+2 + Fn+1 & Fn = Fn+2 - Fn+1

I have to use these answers to show that:

Fn+3 + Fn = 2Fn+2 & Fn+3 - Fn = 2Fn+1 for n = 0, 1, 2,...

I'm not sure how to do this although I understand that the second set of statements are true.
Any help would be really appreciated :)

Quote:

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Originally Posted by bigroo

I have from a previous question these answers:

Fn+3 = Fn+2 + Fn+1 & Fn = Fn+2 - Fn+1

I have to use these answers to show that:

Fn+3 + Fn = 2Fn+2 & Fn+3 - Fn = 2Fn+1 for n = 0, 1, 2,...

I'm not sure how to do this although I understand that the second set of statements are true.
Any help would be really appreciated :)

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You want to show that:



You begin by using the recurrence for the Fibonacci numbers on , then group terms if you try that and have further difficulties post what you have done and tell us what difficulties you are having with it.

CB