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A Fibonacci-like number sequence is defined as follows: N0=2;N1=2;Nn= Nn1+Nn2,n>1. Prove that Nn=2Fn+1,n0 where Fi,i1 is the Fibonacci number

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A Fibonacci-like number sequence is defined as follows: N0=2;N1=2;Nn= Nn1+Nn2,n>1. Prove that Nn=2Fn+1,n0 where Fi,i1 is the Fibonacci number

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