Question: The Fibonacci sequence is defined recursively by a n + 2 = a n + a n +1 where a = 1 and a =

The Fibonacci sequence is defined recursively by an+ 2 = an + an+1 where a₁ = 1 and a₂ = 1.

(a) Show that1 an+1 an+3 1 an+1 an+2 1 an+2an+3

(b) Show that

1 an+1 an+3 1 an+1 an+2 1 an+2an+3

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