Question: II. Define the sequence {ann=1 inductively by 1 a1 = 1, and for any n 2 2 an = 1 + 1+an-1 A. Show that

II. Define the sequence {ann=1 inductively by 1 a1 = 1,

II. Define the sequence {ann=1 inductively by 1 a1 = 1, and for any n 2 2 an = 1 + 1+an-1 A. Show that {an in= is not a monotone by listing down the first six terms of the sequence. B. Use the contraction principle that {an )=1 converges. C. Show that {an )=1 converges to v2, that is, lim an = V2. n-+00 D. Does this sequence converge by the contraction principle? Justify your

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