### Recall the recursive formulas for fibonacci numbers

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##### Reference no: EM13210241

Recall the recursive formulas for Fibonacci numbers F(sub 2n+1) = ( F(sub n+1) )^2 + ( F(sub n) )^2 <-- odd Fibonacci number and F(sub 2n) = ( F(sub n+1) )^2 - ( F(sub n-1) )^2 Prove that these formulas are true. Hint: consider using the well ordering principle.

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