Explanation Given: The sequence is − 1 , 3 , − 5 , 7 , ... . Definition used: "If the difference between consecutive terms is always the same number, then the sequnce is arithmetic. If the first term is called a 1 and the common difference between the consecutive terms is called d , then the terms the pattern of an arithmetic sequence is a 1 , a 1 + d , a 1 + 2 d , ... ”. Calculation: The first, second, third and fourth term of the sequence − 1 , 3 , − 5 , 7 , ... are a 1 = − 1 , a 2 = 3 , a 3 = − 5 and a 4 = 7 , respectively. Obtain the difference between the consecutive terms as follows

3rd Edition

ISBN: 9780321880116

Author: Michael Sullivan III, Katherine R. Struve, Janet Mazzarella

Publisher: PEARSON

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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 13, Problem 24RE

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Whether the given sequence is arithmetic or not and find the common difference, if it is arithmetic.

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Chapter 13, Problem 23RE

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Chapter 13 Solutions

Elementary & Intermediate Algebra

Ch. 13.1 - A(n) _____ is a function whose domain is the set...Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E Ch. 13.1 - Prob. 9E Ch. 13.1 - Prob. 10E

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Whether the given sequence is arithmetic or not and find the common difference, if it is arithmetic.

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Chapter 13 Solutions