Question: Let {a n } be the sequence defined recursively by ao = 0, an+1 = 2+ an

Let {an} be the sequence defined recursively by

ao = 0, an+1 = 2+ an

2, a2 = 2+ 2, a3 = 2+ 2 + 2,.... Thus, a = (a) Show that if an < 2, then an+1 < 2. Conclude by induction that

ao = 0, an+1 = 2+ an

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