Explanation Given: The sequence is given by 1 , 1 2 , 1 4 , ⋯ . The first term a 1 = 1 and the common ratio r = a n a n − 1 = a 2 a 1 = a 3 a 2 = … = 1 2 ...

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 27SB

To determine

To calculate: The value of the $7^{th}$ term of the geometric sequence $1, \frac{1}{2}, \frac{1}{4}, \dots$ .

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Chapter 12.3, Problem 26SB

Chapter 12.3, Problem 28SB

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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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The value of the 7 th term of the geometric sequence 1 , 1 2 , 1 4 , ⋯ .

Solution Summary: The author explains how the 7th term of the geometric sequence is a 7 = 1 64.

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To calculate: The value of the $7^{th}$ term of the geometric sequence $1, \frac{1}{2}, \frac{1}{4}, \dots$ .

Want to see the full answer?

Chapter 12 Solutions

The value of the 7 th term of the geometric sequence 1 , 1 2 , 1 4 , ⋯ .

Solution Summary: The author explains how the 7th term of the geometric sequence is a 7 = 1 64.

Concept explainers

Videos

To calculate: The value of the 7 th term of the geometric sequence 1, 1 2 , 1 4 , ⋯ .

Want to see the full answer?

Chapter 12 Solutions

To calculate: The value of the $7^{th}$ term of the geometric sequence $1, \frac{1}{2}, \frac{1}{4}, \dots$ .