Explanation Given: The first term of the geometric sequence a = 6 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 = 6 and r = 1 2 in the given geometric sequence: S n = 6 { ( 1 2 ) n − 1 } 1 2 − 1 = 6 ( 1 2 n − 1 ) ( − 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 5.2, Problem 12E

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The sum of the first four terms of the geometric sequence with a=6 and r=12.

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Chapter 5.2, Problem 11E

Chapter 5.2, Problem 13E

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Finite Mathematics (11th Edition)

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The sum of the first four terms of the geometric sequence with a = 6 and r = 1 2 .

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The sum of the first four terms of the geometric sequence with a=6 and r=12.

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Chapter 5 Solutions