Explanation Given Information: The first term of a geometric sequence is a 1 = 64 and the common ratio is r = 1 2 . Formula Used: The n th term of a geometric sequence is, a n = a 1 ( r ) n − 1 . Here a 1 is the first term and r is the common ratio. Calculation: Now substitute the value of a 1 = 64 and r = 1 2 in the formula a n = a 1 ( r ) n − 1 . a n = a 1 ( r ) n − 1 = 64 ( 1 2 ) n − 1 Substitute n = 1 , 2 , 3 , 4 in the general equation a n = 64 ( 1 2 ) n − 1 . For n = 1 , a n = 64 ( 1 2 ) n − 1 a 1 = 64 ( 1 2 ) 1 − 1 = 64 ( 1 2 ) 0 = 64 The first term of the sequence is 64

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ISBN: 9781265677299

Author: Miller

Publisher: MCG CUSTOM

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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 14.4, Problem 9PE

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To calculate: The first four terms of the sequence here the first term of a geometric sequence is a1=64 and the common ratio is r=12.

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Chapter 14.4, Problem 8PE

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Chapter 14 Solutions

BEG+INTERMEDIATE ALG CNCT MATH ALEKS AC

Ch. 14.1 - Prob. 1SP Ch. 14.1 - Prob. 2SP Ch. 14.1 - Evaluate the expressions. 3. 1! Ch. 14.1 - Prob. 4SP Ch. 14.1 - Prob. 5SP Ch. 14.1 - Prob. 6SP Ch. 14.1 - Write out the first three terms of ( x + y ) 5 .Ch. 14.1 - 8. Use the binomial theorem to expand . Ch. 14.1 - Use the binomial theorem to expand ( 2 a − 3 b 2 )...Ch. 14.1 - Find the fourth term of ( x + y ) 8 .

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The first four terms of the sequence here the first term of a geometric sequence is a 1 = 64 and the common ratio is r = 1 2 .

Solution Summary: The author explains how to calculate the first four terms of a geometric sequence: a_1=64 and the common ratio.

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To calculate: The first four terms of the sequence here the first term of a geometric sequence is a1=64 and the common ratio is r=12.

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Chapter 14 Solutions