Explanation Given information: The general term of the sequence a n = 1 + ( − 1 2 ) n . Formula used: For the terms of the sequence whose general term is given substitute the value for n to obtain the terms. Calculation: Consider, the general term of the sequence a n = 1 + ( − 1 2 ) n . For the first term of the sequence substitute n = 1 in a n = 1 + ( − 1 2 ) n , a 1 = 1 + ( − 1 2 ) 1 = 1 − 1 2 = 1 2 = 0.5000 For the second term of the sequence substitute n = 2 in a n = 1 + ( − 1 2 ) n , a 2 = 1 + ( − 1 2 ) 2 = 1 + 1 4 = 5 4 = 1.2500 For the third term of the sequence substitute n = 3 in a n = 1 + ( − 1 2 ) n , a 3 = 1 + ( − 1 2 ) 3 = 1 − 1 8 = 7 8 = 0.8750 For the fourth term of the sequence substitute n = 4 in a n = 1 + ( − 1 2 ) n , a 4 = 1 + ( − 1 2 ) 4 = 1 + 1 16 = 17 16 = 1.0625 For the fifth term of the sequence substitute n = 5 in a n = 1 + ( − 1 2 ) n , a 5 = 1 + ( − 1 2 ) 5 = 1 − 1 32 = 31 32 = 0.9688 For the sixth term of the sequence substitute n = 6 in a n = 1 + ( − 1 2 ) n , a 6 = 1 + ( − 1 2 ) 6 = 1 + 1 64 = 65 64 = 1.0156 For the seventh term of the sequence substitute n = 7 in a n = 1 + ( − 1 2 ) n , a 7 = 1 + ( − 1 2 ) 7 = 1 − 1 128 = 127 128 = 0

15th Edition

ISBN: 9781305177291

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 1.6, Problem 7E

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To calculate: The first ten terms of the sequence whose general term an=1+(−12)n correct to 4 decimal places and the graph the sequence.

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Chapter 1.6, Problem 6E

Chapter 1.6, Problem 8E

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Chapter 1 Solutions

Biocalculus: Calculus For Life Sciences

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The first ten terms of the sequence whose general term a n = 1 + ( − 1 2 ) n correct to 4 decimal places and the graph the sequence.

Solution Summary: The author calculates the first ten terms of the sequence whose general term a_n=1+(-12).

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To calculate: The first ten terms of the sequence whose general term an=1+(−12)n correct to 4 decimal places and the graph the sequence.

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Chapter 1 Solutions