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4. Recall the Fibonacci sequence (an)n0, defined recursively by a0=0a1=1an=an1+an2forn2. Let B=(0111). (a) Show by induction that Bn=(an1ananan+1)foralln1. (b) Deduce that an1an+1an2=(1)n for all n1

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4. Recall the Fibonacci sequence (an)n0, defined recursively by a0=0a1=1an=an1+an2forn2. Let B=(0111). (a) Show by induction that Bn=(an1ananan+1)foralln1. (b) Deduce that an1an+1an2=(1)n for all n1

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