Consider the following series 14+98+686+4802+⋯ a. Explain why this is a geometric series. (Maximum 2 sentences) b. Does this series have an infinite sum? Why? (Maximum 3 sentences) c. If yes, find the infinite sum of this series. If no, find the sum of first 11 terms.

Consider the following series 14+98+686+4802+⋯ a. Explain why this is a geometric series. (Maximum 2 sentences) b. Does this series have an infinite sum? Why? (Maximum 3 sentences) c. If yes, find the infinite sum of this series. If no, find the sum of first 11 terms.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Sequences And Series

Section: Chapter Questions

Problem 6CC

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Question

i. Consider the following series 14+98+686+4802+⋯ a. Explain why this is a geometric series. (Maximum 2 sentences) b. Does this series have an infinite sum? Why? (Maximum 3 sentences) c. If yes, find the infinite sum of this series. If no, find the sum of first 11 terms. ii. Consider the following series 4+4(58)+4(5282)+4(5383)+⋯ a. Explain why this is a geometric series. (Maximum 2 sentences) b. Does this series have an infinite sum? Why? (Maximum 3 sentences) c. If yes, find the infinite sum of this series. If no, find the sum of first 5 terms.

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