Explanation Given information: a 1 = 1 , a n + 1 = 6 1 + a n Calculation: The given recursive sequence is a 1 = 1 and a n + 1 = 6 1 + a n For all n ∈ ℕ , let us calculate the eight terms of the sequence up to four decimal places a 1 = 1 a 2 = 6 1 + a 1 = 6 1 + 1 = 3 a 3 = 6 1 + a 2 = 6 1 + 3 = 1.5000 a 4 = 6 1 + a 3 = 6 1 + 1.5000 = 2.4000 a 5 = 6 1 + a 4 = 6 1 + 2.4000 = 1.7647 a 6 = 6 1 + a 5 = 6 1 + 1.7647 = 2.1702 a 7 = 6 1 + a 6 = 6 1 + 2.1702 = 1.8926 a 8 = 6 1 + a 7 = 6 1 + 1

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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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 31E

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To calculate: the first eight terms of a1=1,an+1=61+an to four decimal places and if it is convergent then fid its limit also.

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Chapter 2.1, Problem 30E

Chapter 2.1, Problem 32E

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Chapter 2 Solutions

Biocalculus

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the first eight terms of a 1 = 1 , a n + 1 = 6 1 + a n to four decimal places and if it is convergent then fid its limit also.

Solution Summary: The author calculates the first eight terms of a_1=1, if it is convergent then fid its limit also.

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To calculate: the first eight terms of a1=1,an+1=61+an to four decimal places and if it is convergent then fid its limit also.

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Chapter 2 Solutions