Explanation Given information: a 1 = 1 , a n + 1 = 2 + a n Calculation: The given recursive sequence is a 1 = 1 and a n + 1 = 2 + a n For all n , let us calculate the eight terms of the sequence up to four decimal places a 1 = 1 a 2 = 2 + a 1 = 2 + 1 ≈ 1.7321 a 3 = 2 + a 2 ≈ 2 + 1.7321 ≈ 1.9319 a 4 = 2 + a 3 ≈ 2 + 1.9319 ≈ 1.9829 a 5 = 2 + a 4 ≈ 2 + 1.9829 ≈ 1.9957 a 6 = 2 + a 5 ≈ 2 + 1.9957 ≈ 1.9989 a 7 = 2 + a 6 ≈ 2 + 1.9989 ≈ 1.9997 a 8 = 2 + a 7 ≈ 2 + 1

15th Edition

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 33E

To determine

To calculate: the first eight terms of a1=1,an+1=2+an to four decimal places and if it is convergent then fid its limit also.

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Chapter 2.1, Problem 32E

Chapter 2.1, Problem 34E

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Chapter 2 Solutions

BIOCALCULUS:CALCULUS F/LIFE...-W/ACCESS

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

Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - Prob. 51E Ch. 2.1 - Prob. 52E Ch. 2.1 - Prob. 53E Ch. 2.1 - Prob. 54E Ch. 2.1 - Prob. 55E Ch. 2.1 - Prob. 56E Ch. 2.1 - Prob. 57E Ch. 2.1 - Prob. 58E Ch. 2.1 - Prob. 59E Ch. 2.1 - Prob. 60E Ch. 2.1 - 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Prob. 9CS

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

Solution Summary: The author calculates the eight terms of the sequence up to four decimal places and if it is convergent then fid its limit.

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To calculate: the first eight terms of a1=1,an+1=2+an to four decimal places and if it is convergent then fid its limit also.

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Chapter 2 Solutions