/*! 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.82 Find x so that x - 1, x, and x +... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q.82 (page 825)

Find x so that x - 1, x, and x + 2 are consecutive terms of a geometric sequence.

Short Answer

Expert verified

The value of x is 2 .

Step by step solution

01

Step 1. Given information

x - 1, x, and x + 2 are consecutive terms of a geometric sequence.

02

Step 2. Equation for geometric sequence.  

The common ratio of geometric sequence is a1a2=a2a3.

Where a1,a2and a3are the consecutive terms of Geometric sequence. So, The terms are in common ratio.

Therefore, xx-1=x+2xx2=(x+2)(x-1)

03

Step 3. Solving the Geometric Proportional ratio equation .

Solving the equation :-

x2=x2+x-2-x=-2

Divide both side by -1 , we get:-

-x-1=-2-1x=2

Therefore, The value of x is 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

For the functionf(x)=x-1x,findf(2)andf(3).

In Problems 71鈥�82, find the sum of each sequence.

鈭�k=1405

In Problems 51鈥�60, write out each sum.

鈭�k=0n-12k+1

In Problems 51鈥�66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.

9+12+16+643+....

In Problems 61鈥�70, express each sum using summation notation.

3+322+333+.....+3nn
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Applied 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.