Explanation Given information: The infinite geometric series is 3 + 5 + 25 3 + 125 9 + … . Formula used: For a geometric series, common ratio r = a 2 a 1 = a 3 a 2 = … = a n + 1 a n . The sum of an infinite series given by S n = a 1 − r exists if | r | ≤ 1 ; r and a are the common ratio and the first term of the geometric series. Calculation: Consider the series 3 + 5 + 25 3 + 125 9 + … , Here, a 1 = 3 , For a geometric series, a n = a 1 ( r ) n − 1 , and r = a n + 1 a n

ALEKS 360 BEGINNING/INTERM. ALGEBRA 52 W

6th Edition

ISBN: 9781264015269

Author: Miller

Publisher: MCG

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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 14.4, Problem 64PE

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To calculate: The common ratio r and the sum of the infinite series 3+5+253+1259+…, if it exists.

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Chapter 14.4, Problem 63PE

Chapter 14.4, Problem 65PE

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Chapter 14 Solutions

ALEKS 360 BEGINNING/INTERM. ALGEBRA 52 W

Ch. 14.1 - Prob. 1SP Ch. 14.1 - Prob. 2SP Ch. 14.1 - Evaluate the expressions. 3. 1! Ch. 14.1 - Prob. 4SP Ch. 14.1 - Prob. 5SP Ch. 14.1 - Prob. 6SP Ch. 14.1 - Write out the first three terms of ( x + y ) 5 .Ch. 14.1 - 8. Use the binomial theorem to expand . Ch. 14.1 - Use the binomial theorem to expand ( 2 a − 3 b 2 )...Ch. 14.1 - Find the fourth term of ( x + y ) 8 .

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The common ratio r and the sum of the infinite series 3 + 5 + 25 3 + 125 9 + … , if it exists.

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To calculate: The common ratio r and the sum of the infinite series 3+5+253+1259+…, if it exists.

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Chapter 14 Solutions