Explanation The given sequence is { a n } = { 5 ( − 2 ) n } . Recall the definition of geometric sequence, “If the ratio of any consecutive terms in a sequence is constant”. In order to check the ratio of any two consecutive terms in a sequence is constant, it is enough to show that a n a n − 1 is constant. Note that a n and a n − 1 are any two consecutive terms. Substitute n − 1 for n in a n = 5 ( − 2 ) n to get the value of a n − 1 as follows. a n − 1 = 5 ( − 2 ) n − 1 Compute the value of a n a n − 1

4th Edition

ISBN: 9780134556079

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

Publisher: Pearson,

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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 13, Problem 43RE

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Whether the sequence {5(−2)n} is geometric or not; If it is geometric, find the common ratio.

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Chapter 13, Problem 42RE

Chapter 13, Problem 44RE

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Chapter 13 Solutions

Elementary & Intermediate Algebra

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Now add the repeating decimals...Ch. 13.3 - Prob. 104E Ch. 13.3 - Prob. 105E Ch. 13.3 - Prob. 106E Ch. 13.3 - Prob. 107E Ch. 13.3 - Prob. 108E Ch. 13.4 - If n 2 is an integer, then n! =...Ch. 13.4 - Prob. 2E Ch. 13.4 - Prob. 3E Ch. 13.4 - Prob. 4E Ch. 13.4 - Prob. 5E Ch. 13.4 - Prob. 6E Ch. 13.4 - Prob. 7E Ch. 13.4 - Prob. 8E Ch. 13.4 - Prob. 9E Ch. 13.4 - Prob. 10E Ch. 13.4 - In Problems 11-18, evalute each factorial...Ch. 13.4 - Prob. 12E Ch. 13.4 - Prob. 13E Ch. 13.4 - Prob. 14E Ch. 13.4 - Prob. 15E Ch. 13.4 - Prob. 16E Ch. 13.4 - Prob. 17E Ch. 13.4 - Prob. 18E Ch. 13.4 - Prob. 19E Ch. 13.4 - Prob. 20E Ch. 13.4 - Prob. 21E Ch. 13.4 - Prob. 22E Ch. 13.4 - Prob. 23E Ch. 13.4 - Prob. 24E Ch. 13.4 - Prob. 25E Ch. 13.4 - Prob. 26E Ch. 13.4 - Prob. 27E Ch. 13.4 - Prob. 28E Ch. 13.4 - Prob. 29E Ch. 13.4 - In Problems 23-38, expand each expression using...Ch. 13.4 - Prob. 31E Ch. 13.4 - Prob. 32E Ch. 13.4 - Prob. 33E Ch. 13.4 - Prob. 34E Ch. 13.4 - Prob. 35E Ch. 13.4 - Prob. 36E Ch. 13.4 - Prob. 37E Ch. 13.4 - Prob. 38E Ch. 13.4 - Prob. 39E Ch. 13.4 - Prob. 40E Ch. 13.4 - Prob. 41E Ch. 13.4 - Prob. 42E Ch. 13.4 - Prob. 43E Ch. 13.4 - Prob. 44E Ch. 13.4 - Prob. 45E Ch. 13.4 - Prob. 46E Ch. 13.4 - Prob. 47E Ch. 13.4 - Prob. 48E Ch. 13.4 - Prob. 49E Ch. 13.4 - Prob. 50E Ch. 13.4 - Prob. 51E Ch. 13.4 - Prob. 52E Ch. 13.4 - Prob. 53E Ch. 13.4 - Prob. 54E Ch. 13.4 - Prob. 55E Ch. 13.4 - If h(x) = 2x5 + 5x4, find h(a + 3) with the aid of...Ch. 13 - In Problems 16, determine if the sequence is...Ch. 13 - Prob. 2PCT Ch. 13 - Prob. 3PCT Ch. 13 - Prob. 4PCT Ch. 13 - Prob. 5PCT Ch. 13 - Prob. 6PCT Ch. 13 - Prob. 7PCT Ch. 13 - Prob. 8PCT Ch. 13 - Prob. 9PCT Ch. 13 - Prob. 10PCT Ch. 13 - Prob. 11PCT Ch. 13 - Prob. 12PCT Ch. 13 - In problem 1315, find the indicated sum. 13....Ch. 13 - Prob. 14PCT Ch. 13 - Prob. 15PCT Ch. 13 - Prob. 16PCT Ch. 13 - Prob. 1RE Ch. 13 - Prob. 2RE Ch. 13 - Prob. 3RE Ch. 13 - Prob. 4RE Ch. 13 - Prob. 5RE Ch. 13 - Prob. 6RE Ch. 13 - Prob. 7RE Ch. 13 - Prob. 8RE Ch. 13 - Prob. 9RE Ch. 13 - Prob. 10RE Ch. 13 - Prob. 11RE Ch. 13 - Prob. 12RE Ch. 13 - Prob. 13RE Ch. 13 - Prob. 14RE Ch. 13 - Prob. 15RE Ch. 13 - Prob. 16RE Ch. 13 - Prob. 17RE Ch. 13 - Prob. 18RE Ch. 13 - Prob. 19RE Ch. 13 - Prob. 20RE Ch. 13 - Prob. 21RE Ch. 13 - Prob. 22RE Ch. 13 - Prob. 23RE Ch. 13 - Prob. 24RE Ch. 13 - Prob. 25RE Ch. 13 - Prob. 26RE Ch. 13 - Prob. 27RE Ch. 13 - Prob. 28RE Ch. 13 - Prob. 29RE Ch. 13 - Prob. 30RE Ch. 13 - Prob. 31RE Ch. 13 - Prob. 32RE Ch. 13 - Prob. 33RE Ch. 13 - Prob. 34RE Ch. 13 - Prob. 35RE Ch. 13 - Prob. 36RE Ch. 13 - Prob. 37RE Ch. 13 - Prob. 38RE Ch. 13 - Prob. 39RE Ch. 13 - Prob. 40RE Ch. 13 - Prob. 41RE Ch. 13 - Prob. 42RE Ch. 13 - Prob. 43RE Ch. 13 - Prob. 44RE Ch. 13 - Prob. 45RE Ch. 13 - Prob. 46RE Ch. 13 - Prob. 47RE Ch. 13 - Prob. 48RE Ch. 13 - Prob. 49RE Ch. 13 - Prob. 50RE Ch. 13 - Prob. 51RE Ch. 13 - Prob. 52RE Ch. 13 - Prob. 53RE Ch. 13 - Prob. 54RE Ch. 13 - Prob. 55RE Ch. 13 - In Problems 5356, find the sum of each geometric...Ch. 13 - Prob. 57RE Ch. 13 - Prob. 58RE Ch. 13 - Prob. 59RE Ch. 13 - Prob. 60RE Ch. 13 - Prob. 61RE Ch. 13 - Prob. 62RE Ch. 13 - Prob. 63RE Ch. 13 - Prob. 64RE Ch. 13 - Prob. 65RE Ch. 13 - Prob. 66RE Ch. 13 - Prob. 67RE Ch. 13 - Prob. 68RE Ch. 13 - Prob. 69RE Ch. 13 - Prob. 70RE Ch. 13 - Prob. 71RE Ch. 13 - Prob. 72RE Ch. 13 - Prob. 73RE Ch. 13 - Prob. 74RE Ch. 13 - Prob. 75RE Ch. 13 - Prob. 76RE Ch. 13 - Prob. 77RE Ch. 13 - Prob. 78RE Ch. 13 - Prob. 1T Ch. 13 - In Problems 16, determine whether the sequence is...Ch. 13 - Prob. 3T Ch. 13 - Prob. 4T Ch. 13 - Prob. 5T Ch. 13 - Prob. 6T Ch. 13 - Prob. 7T Ch. 13 - Prob. 8T Ch. 13 - Prob. 9T Ch. 13 - In Problems 912, write a formula for the nth term...Ch. 13 - Prob. 11T Ch. 13 - Prob. 12T Ch. 13 - Prob. 13T Ch. 13 - Prob. 14T Ch. 13 - Prob. 15T Ch. 13 - Prob. 16T Ch. 13 - Prob. 17T Ch. 13 - Prob. 18T Ch. 13 - Prob. 19T Ch. 13 - Prob. 20T Ch. 13 - Prob. 1CUR Ch. 13 - Prob. 2CUR Ch. 13 - Prob. 3CUR Ch. 13 - Prob. 4CUR Ch. 13 - Prob. 5CUR Ch. 13 - Prob. 6CUR Ch. 13 - Prob. 7CUR Ch. 13 - Prob. 8CUR Ch. 13 - Prob. 9CUR Ch. 13 - Prob. 10CUR Ch. 13 - Prob. 11CUR Ch. 13 - Prob. 12CUR Ch. 13 - Prob. 13CUR Ch. 13 - Prob. 14CUR Ch. 13 - Prob. 15CUR Ch. 13 - Prob. 16CUR Ch. 13 - Prob. 17CUR Ch. 13 - Prob. 18CUR Ch. 13 - Prob. 19CUR Ch. 13 - Prob. 20CUR Ch. 13 - Prob. 21CUR Ch. 13 - Prob. 22CUR Ch. 13 - Prob. 23CUR Ch. 13 - Prob. 24CUR Ch. 13 - Prob. 25CUR

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Whether the sequence { 5 ( − 2 ) n } is geometric or not; If it is geometric, find the common ratio.

Solution Summary: The author analyzes whether the sequence left5 (-2)n right is geometric or not. The common ratio is r=-2.

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Whether the sequence {5(−2)n} is geometric or not; If it is geometric, find the common ratio.

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Chapter 13 Solutions