Explanation Given information: a 1 = 1 , a n + 1 = 1 2 a n + 1 Calculation: The given recursive sequence is a 1 = 1 and a n + 1 = 1 2 a n + 1 For all n ∈ ℕ , let us calculate the values of the first eight terms of the sequence. a 1 = 1 a 2 = 1 2 ( 1 ) + 1 = 1.5 a 3 = 1 2 ( 1.5 ) + 1 = 1.75 a 4 = 1 2 ( 1.75 ) + 1 = 1.8750 a 5 = 1 2 ( 1.8750 ) + 1 = 1.9375 a 6 = 1 2 ( 1.9375 ) + 1 = 1.9688 a 7 = 1 2 ( 1

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ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 2.1, Problem 27E

To determine

To calculate: the first eight terms of a1=1,an+1=12an+1 to four decimal places and if it is convergent then fid its limit also.

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Chapter 2.1, Problem 26E

Chapter 2.1, Problem 28E

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Chapter 2 Solutions

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Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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the first eight terms of a 1 = 1 , a n + 1 = 1 2 a n + 1 to four decimal places and if it is convergent then fid its limit also.

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To calculate: the first eight terms of a1=1,an+1=12an+1 to four decimal places and if it is convergent then fid its limit also.

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Chapter 2 Solutions