Explanation Calculations: Consider a n = 3 + ( − 2 3 ) n . Firstcalculate ten terms of the sequence by substituting the corresponding values of n. a 1 = 3 + ( − 2 3 ) 1 = 2.3333 a 2 = 3 + ( − 2 3 ) 2 = 3 + 4 9 = 3.4444 a 3 = 3 + ( − 2 3 ) 3 = 3 − 8 27 = 2.7037 a 4 = 3 + ( − 2 3 ) 4 = 3 + 16 81 = 3.1975 a 5 = 3 + ( − 2 3 ) 5 = 3 − 32 243 = 2.8683 a 6 = 3 + ( − 2 3 ) 6 = 3 + 64 729 = 3.0877 a 7 = 3 + ( − 2 3 ) 7 = 3 − 128 2187 = 2.9414 a 8 = 3 + ( − 2 3 ) 8 = 3 + 256 6561 = 3

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

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 7E

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To find the first ten terms of the sequence an=3+(−23)n and use them to plot graph of the sequence. Also, to find out the limit of the sequence, and if it doesn’t exist, then explain why?

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Chapter 2.1, Problem 6E

Chapter 2.1, Problem 8E

Chapter 2 Solutions

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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To find the first ten terms of the sequence a n = 3 + ( − 2 3 ) n and use them to plot graph of the sequence. Also, to find out the limit of the sequence, and if it doesn’t exist, then explain why?

Solution Summary: The author explains how to find the first ten terms of the sequence a_n=3+(-23).

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To find the first ten terms of the sequence an=3+(−23)n and use them to plot graph of the sequence. Also, to find out the limit of the sequence, and if it doesn’t exist, then explain why?

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Chapter 2 Solutions