Explanation Given: The first term of the geometric sequence a = 8000 and common ratio r = − 1 2 Explanation: Use the formula for the sum of first n terms of a geometric sequence with first term a and common ratio r : S n = a ( r n − 1 ) r − 1 , r ≠ 1 Substitute a = 8000 and r = − 1 2 for the given geometric sequence: S n = 8000 { ( − 1 2 ) n − 1 } ( − 1 2 ) − 1 = 8000 { 1 ( − 2 ) n − 1 } ( − 3 2 ) = − 8000 × 2 3 { 1 ( − 2 ) n − 1 } = − 16 , 000 3 { 1

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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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 5, Problem 34RE

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The sum of the first five terms of the geometric sequence with a=8000 and r=−12.

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Chapter 5, Problem 33RE

Chapter 5, Problem 35RE

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Chapter 5 Solutions

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The sum of the first five terms of the geometric sequence with a = 8000 and r = − 1 2 .

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The sum of the first five terms of the geometric sequence with a=8000 and r=−12.

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Chapter 5 Solutions