Question: Both questions go together, please provide/show work and share thoughts, thank you. 2. Let Fn denote the nth Fibonacci number. Let A=(1110). Show that An=(Fn+1FnFnFn1).

Both questions go together, please provide/show work and share thoughts, thank you.

2. Let Fn denote the nth Fibonacci number. Let A=(1110). Show that An=(Fn+1FnFnFn1). (Hint: use induction). 3. Use the equality proven in question 2 to design an algorithm to compute the nth Fibonacci number in O(logn) time

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