Question: A sequence is defined recursively by the equations a1 = 1, an + 1 = 1/3 (an + 4). Show that {an} is increasing and

A sequence is defined recursively by the equations a1 = 1, an + 1 = 1/3 (an + 4). Show that {an} is increasing and an < 2. Show that {an} is increasing and for all. Deduce that is convergent and find its limit?

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