Explanation Given information: The general term of the sequence a n = 1 + ( 10 ) n 9 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 + ( 10 ) n 9 n . For the first term of the sequence substitute n = 1 in a n = 1 + ( 10 ) n 9 n , a 1 = 1 + ( 10 ) 1 9 1 = 1 + 10 9 = 19 9 = 2.1111 For the second term of the sequence substitute n = 2 in a n = 1 + ( 10 ) n 9 n , a 2 = 1 + ( 10 ) 2 9 2 = 1 + 100 81 = 181 81 = 2.2346 For the third term of the sequence substitute n = 3 in a n = 1 + ( 10 ) n 9 n , a 3 = 1 + ( 10 ) 3 9 3 = 1 + 1000 729 = 1729 729 = 2.3717 For the fourth term of the sequence substitute n = 4 in a n = 1 + ( 10 ) n 9 n , a 4 = 1 + ( 10 ) 4 9 4 = 1 + 10000 6561 = 16561 6561 = 2.5242 For the fifth term of the sequence substitute n = 5 in a n = 1 + ( 10 ) n 9 n , a 5 = 1 + ( 10 ) 5 9 5 = 1 + 100000 59049 = 159049 59049 = 2.6935 For the sixth term of the sequence substitute n = 6 in a n = 1 + ( 10 ) n 9 n , a 6 = 1 + ( 10 ) 6 9 6 = 2

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 1.6, Problem 8E

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To calculate: The first ten terms of the sequence whose general term an=1+( 10)n9n correct to 4 decimal places and the graph the sequence.

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Chapter 1.6, Problem 7E

Chapter 1.6, Problem 9E

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Chapter 1 Solutions

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

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The first ten terms of the sequence whose general term a n = 1 + ( 10 ) n 9 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+(10)

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To calculate: The first ten terms of the sequence whose general term an=1+( 10)n9n correct to 4 decimal places and the graph the sequence.

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Chapter 1 Solutions