Explanation Given: Sequence is given by { S n } = { ( − 5 ) n } . The first term S 1 = − 5 . The n th term and ( n − 1 ) st term of the sequence is ( − 5 ) n and ( − 5 ) n − 1 . Then the common ratio r = ( − 5 ) n ( − 5 ) n − 1 = − 5 . Because the ratio of successive term is a nonzero constant − 5 , the sequence { S n } is a geometric sequence...

Precalculus Enhanced with Graphing Utilities (7th Edition)

7th Edition

ISBN: 9780134119281

Author: Michael Sullivan, Michael Sullivan III

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 12.3, Problem 10SB

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To find: Prove that the given sequence is geometric and hence find the common ratio, and first four terms of the sequence.

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Chapter 12.3, Problem 9SB

Chapter 12.3, Problem 11SB

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Chapter 12 Solutions

Precalculus Enhanced with Graphing Utilities (7th Edition)

Ch. 12.1 - For the function f( x )= x1 x , find f( 2 ) and f(...Ch. 12.1 - True or False A function is a relation between two...Ch. 12.1 - If 1000 is invested at 4 per annum compounded...Ch. 12.1 - How much do you need to invest now at 5 per annum...Ch. 12.1 - Prob. 5AYP Ch. 12.1 - True or False The notation a 5 represents the...Ch. 12.1 - If n0 is an integer, then n!= ________ When n2 .Ch. 12.1 - The sequence a 1 =5 , a n =3 a n1 is an example of...Ch. 12.1 - The notation a 1 + a 2 + a 3 ++ a n = k=1 n a k...Ch. 12.1 - k=1 n k=1+2+3++n = ______. (a) n! (b) n( n+1 ) 2...

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Prove that the given sequence is geometric and hence find the common ratio, and first four terms of the sequence.

Solution Summary: The author explains that the given sequence is geometric and hence find the common ratio, and first four terms of the sequence.

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To find: Prove that the given sequence is geometric and hence find the common ratio, and first four terms of the sequence.

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Chapter 12 Solutions