Question: Show that the sequence defined by an1 = 2, an+1 = 1/3 an satisfies 0 < an < 2and is decreasing. Deduce that the

Show that the sequence defined by an1 = 2, an+1 = 1/3 – an satisfies 0 < an < 2and is decreasing. Deduce that the sequence is convergent and find its limit.

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