Explanation Given information: The series is ∑ k = 1 ∞ c k e − 0.08 k and for all k , c k = 10 , 000 ( 1.08 ) k Explanation: Geometric series: The infinite series a + a r + a r 2 + a r 3 + . . . converges, if and only if | r | < 1 , the sum of this series is a 1 − r . The series is ∑ k = 1 ∞ c k e − 0.08 k = ∑ k = 1 ∞ 10 , 000 ( 1.08 ) k e − 0.08 k = 10 , 000 ∑ k = 1 ∞ ( 1.08 ) k ( e − 0.08 k ) = 10 , 000 ∑ k = 1 ∞ ( 1.08 e − 0.08 ) k Here, 1.08 e − 0.08 = 1.08 ( 0

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ISBN: 9780137590810

Author: Larry J. Goldstein, David C. Lay, David I. Schneider, Nakhle H. Asmar, William Edward Tavernetti

Publisher: PEARSON

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Chapter 11, Problem 45RE

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The sum of the series ∑k=1∞cke−0.08k if the series converges, where ck=10,000(1.08)k for all k

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Chapter 11, Problem 44RE

Chapter 12.1, Problem 1CYU

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The sum of the series ∑ k = 1 ∞ c k e − 0.08 k if the series converges, where c k = 10 , 000 ( 1.08 ) k for all k

Solution Summary: The author explains that the sum of the infinite series a+ar+ar2+

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The sum of the series ∑k=1∞cke−0.08k if the series converges, where ck=10,000(1.08)k for all k

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Chapter 11 Solutions