Explanation Given information: The general term of the sequence a n = 2 + ( − 1 ) n 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 = 2 + ( − 1 ) n n . For the first term of the sequence substitute n = 1 in a n = 2 + ( − 1 ) n n , a 1 = 2 + ( − 1 ) 1 1 = 2 − 1 = 1.0000 For the second term of the sequence substitute n = 2 in a n = 2 + ( − 1 ) n n , a 2 = 2 + ( − 1 ) 2 2 = 2 + 1 2 = 5 2 = 2.5000 For the third term of the sequence substitute n = 3 in a n = 2 + ( − 1 ) n n , a 3 = 2 + ( − 1 ) 3 3 = 2 − 1 3 = 5 3 = 1.6667 For the fourth term of the sequence substitute n = 4 in a n = 2 + ( − 1 ) n n , a 4 = 2 + ( − 1 ) 4 4 = 2 + 1 4 = 9 4 = 2.2500 For the fifth term of the sequence substitute n = 5 in a n = 2 + ( − 1 ) n n , a 5 = 2 + ( − 1 ) 5 5 = 2 − 1 5 = 9 5 = 1.8000 For the sixth term of the sequence substitute n = 6 in a n = 2 + ( − 1 ) n n , a 6 = 2 + ( − 1 ) 6 6 = 2 + 1 6 = 13 6 = 2.1667 For the seventh term of the sequence substitute n = 7 in a n = 2 + ( − 1 ) n n , a 7 = 2 + ( − 1 ) 7 7 = 2 − 1 7 = 13 7 = 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 1.6, Problem 6E

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To calculate: The first ten terms of the sequence whose general term an=2+( −1)nn correct to 4 decimal places and the graph the sequence.

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Chapter 1.6, Problem 5E

Chapter 1.6, Problem 7E

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Chapter 1 Solutions

Biocalculus

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

Solution Summary: The author explains how to calculate the first ten terms of the sequence whose general term a_n=2+(-1)

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To calculate: The first ten terms of the sequence whose general term an=2+( −1)nn correct to 4 decimal places and the graph the sequence.

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Chapter 1 Solutions