5. The Fibonacci sequence is defined recursively as an+2 = an+1 + an, with a₁ = 1 = a2. (a) Write down the first 5 terms (b) Show that an+2 = 1+ an for n ≥ 1 an+1 an+1 (c) Hence argue that if the sequence an+2 an+1 quence an+1 an converges to some value L, so does the se-

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A: Given a0=1 and an+1=an3+n-1a1 means n=0So, a1=a0+1=13+0-1          =0a2=a1+1=03+1+-1              =0

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