Explanation Given: The sequence, a n = 1 − ( 0.2 ) n . Concept used: For a given sequence a n if lim n → ∞ a n exists, the sequence is convergent otherwise the sequence diverges. Calculation: lim n → ∞ a n = lim n → ∞ ( 1 − ( 0.2 ) n ) = lim n → ∞ ( 1 − ( 2 10 ) n ) = lim n →

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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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 2.1, Problem 15E

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To find: Whether the sequence an=1−(0.2)n is convergent or not.

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Chapter 2.1, Problem 14E

Chapter 2.1, Problem 16E

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Chapter 2 Solutions

Biocalculus

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Whether the sequence a n = 1 − ( 0.2 ) n is convergent or not.

Solution Summary: The author analyzes whether the sequence a_n=1-(0.2) converges or diverges.

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To find: Whether the sequence an=1−(0.2)n is convergent or not.

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Chapter 2 Solutions