Question: [10 marks] Use the mathematical induction method to prove the following equality [F(n1)F(n)]=[0111]n[10]forn1, here F(n) is the nth Fibonacci number, F(n)=F(n1)+F(n2) for n2,F(0)=0,F(1)=1

[10 marks] Use the mathematical induction method to prove the following

[10 marks] Use the mathematical induction method to prove the following equality [F(n1)F(n)]=[0111]n[10]forn1, here F(n) is the nth Fibonacci number, F(n)=F(n1)+F(n2) for n2,F(0)=0,F(1)=1

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