A sequence is defined recursively by the equations a1 = 1, an + 1 = 1/3 (an

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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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Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

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Question Posted: Mar 04, 2016 07:30 AM

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A sequence is defined recursively by the equations a1 = 1, an + 1 = 1/3 (an

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We use induction hypothesizing that a n 1 a n 2 First that 1 a 2 ...View the full answer

Calculus Early Transcendentals

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