Question

Determine the common ratio, $r,$ for the geometric sequence. $$3,-6,12,-24, \dots$$

Name: Problem 17, Chapter 10: Intermediate Algebra
Uploaded: 2020-07-20T07:50:29-08:00
Duration: 1 min 3 s
Channel: Ankit Gupta
Description: Determine the common ratio, r, for the geometric sequence. 3,-6,12,-24, …

   Determine the common ratio, $r,$ for the geometric sequence.
$$3,-6,12,-24, \dots$$

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 10, Problem 17

Instant Answer

Solved by Expert Ankit Gupta

07/20/2020

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Step 1: The common ratio in a geometric sequence is calculated by dividing any term by its predecessor. Show more…

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Determine the common ratio, $r,$ for the geometric sequence. $$3,-6,12,-24, \dots$$

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Key Concepts

Geometric Sequence

A geometric sequence is a sequence in which each term after the first is obtained by multiplying the previous term by a constant factor, known as the common ratio. This type of sequence is characterized by the multiplicative relationship between consecutive terms, and it appears in various mathematical and real-world contexts such as financial models and growth/decay processes.

Common Ratio

The common ratio in a geometric sequence is the constant factor by which each term is multiplied to yield the next term. It is calculated by dividing any term by its preceding term. Understanding the common ratio is crucial for analyzing the behavior and properties of the sequence, including whether the sequence will increase, decrease, or oscillate in sign.

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