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Problem 4. (6 pts) Let a1 = 2, and for n 2 2, an = 2(an-1 + . ). (You must justify your answer.) (1)

Problem 4. (6 pts) Let a1 = 2, and for n 2 2, an = 2(an-1 + . ). (You must justify your answer.) (1) (2 pts) Show that an 2 V2. (2) (2 pts) Show that (an) is decreasing. (3) (2 pts) Show that (an) converges and find the limit

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