Question: Define a n+1 = a n + 6 with a 1 = 2. (a) Compute a n for n = 2, 3, 4, 5. (b)

Define an+1 = √an + 6 with a1 = 2.
(a) Compute an for n = 2, 3, 4, 5.
(b) Show that {an} is increasing and is bounded by 3.

(c) Prove that lim an n0 exists and find its value.

lim an n0

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