Explanation Formula used: Sum of a Geometric Series: “If − 1 < r < 1 , the sum of the terms of an infinite geometric series with first term a 1 and common ratio r is ∑ n = 1 ∞ a 1 r n − 1 = a 1 1 − r .” Calculation: The given infinite geometric series is 10 + 10 3 + 10 9 + ⋯ . Since it is a geometric series, the first term a 1 is 10 and calculate the common ratio r as, ( 10 3 ) 10 = 1 3 ( 10 9 ) ( 10 3 ) = 1 3 r = 1 3 Note that, the common ratio r lies between −1 and 1

Elementary & Intermediate Algebra with Access Code

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ISBN: 9780321915139

Author: Michael III Sullivan

Publisher: PEARSON

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Chapter 13.3, Problem 51E

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To find: The sum of the geometric series 10+103+109+⋯.

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Chapter 13.3, Problem 50E

Chapter 13.3, Problem 52E

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Elementary & Intermediate Algebra with Access Code

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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The sum of the geometric series 10 + 10 3 + 10 9 + ⋯ .

Solution Summary: The author explains the formula used to find the sum of a geometric series.

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