Show that the sequence defined by an1 = 2, an+1 = 1/3 an satisfies 0 <

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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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Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

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Question Posted: Jul 10, 2010 01:18 AM

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Show that the sequence defined by an1 = 2, an+1 = 1/3 an satisfies 0 <

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We use induction Let P be the statement that 0 an1 an 2 Clearly P is true ...View the full answer

Calculus Early Transcendentals

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