/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 283 In the following exercises, dete... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 283 (page 1219)

In the following exercises, determine if the sequence is geometric, and if so, indicate the common ratio.

9,鈭�18,36,鈭�72,144,鈭�288,...

Short Answer

Expert verified

The sequence is geometric and the common ratio is-2.

Step by step solution

01

Step 1. Given and explanation.

We have 9,鈭�18,36,鈭�72,144,鈭�288,...

Geometric sequence is a ratio where difference between the two continuous terms is always the same. This ratio is called common difference.
So to determine whether it is a geometric sequence or not, we need to calculate the ratio.

02

Step 2. Determining the ratio.

We have 9,鈭�18,36,鈭�72,144,鈭�288,...

Ratio can be calculated as -

  1. -189=-2
  2. 36-18=-2
  3. -7236=-2
  4. 144-72=-2
  5. -288144=-2

As we can see that the ratio is same in every term, we conclude that the sequence is geometric with common ratio as-2.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the eleventh term of a sequence where the ninth term is 8 and the common difference is 鈭�3. Give the formula for the general term.

Determine if each sequence is geometric. If so indicate the common ratio.

鈸� 鈭�150,鈭�30,鈭�15,鈭�5,-52,0,鈥�

鈸� 5,10,20,40,80,160,鈥�

鈸�8,4,2,1,12,14,鈥�

Find the eighteenth term of a sequence where the first term is 13 and the common difference is 鈭�7.

Find the sum of the first 50 terms of the arithmetic sequence whose general term isan=4n+3.

In the following exercises, expand each binomial using Pascal's Triangle.

(3x-5)3
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.