Question

In Exercises $1-10$ , determine whether or not the sequence is geometric. If it is, find the common ratio. $$ \frac{1}{8}, \frac{1}{4}, \frac{1}{2}, 1, \dots $$

Name: Problem 7, Chapter 8: Precalculus with Limits : A Graphing Approach
Uploaded: 2020-09-06T12:33:55-08:00
Duration: 2 min 33 s
Channel: Raushan Kumar
Description: In Exercises 1-10 , determine whether or not the sequence is geometric. If it is, find the common ratio. (1)/(8), (1)/(4), (1)/(2), 1, …

   In Exercises $1-10$ , determine whether or not the sequence is geometric. If it is, find the common ratio. 
$$
\frac{1}{8}, \frac{1}{4}, \frac{1}{2}, 1, \dots
$$

Precalculus with Limits : A Graphing Approach

Ron Larson, Robert… 5th Edition

Chapter 8, Problem 7

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Solved by Expert Raushan Kumar

09/06/2020

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We need to determine whether this sequence is geometric or not. Show more…

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In Exercises $1-10$ , determine whether or not the sequence is geometric. If it is, find the common ratio. $$ \frac{1}{8}, \frac{1}{4}, \frac{1}{2}, 1, \dots $$

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Key Concepts

Sequence

A sequence is an ordered list of numbers arranged in a specific order according to a particular rule or pattern. In mathematics, sequences are studied to understand patterns and relationships between elements, and they can be finite or infinite in length.

Geometric Sequence

A geometric sequence is a type of sequence where every term after the first is found by multiplying the preceding term by a fixed, non-zero number called the common ratio. This property distinguishes geometric sequences from other types, such as arithmetic sequences, where a fixed number is added or subtracted instead.

Common Ratio

The common ratio is the constant factor by which each term of a geometric sequence is multiplied to obtain the subsequent term. It is determined by dividing any term (except the first) by its previous term, and it defines the exponential growth or decay characteristics of the sequence.

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