/*! 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. 56 Find x so that 2x, 3x + 2, and 5... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 56 (page 798)

Find x so that 2x, 3x + 2, and 5x + 3 are consecutive terms of an arithmetic sequence

Short Answer

Expert verified

The value of x=1

Step by step solution

01

Given information 

three terms are 2x, 3x + 2, and 5x + 3

02

Difference

a1=2xa2=3x+2d=a2-a1=3x+2-2x=x+2a3=5x+3d=a3-a2=5x+3-(3x+2)=2x+1

03

constant difference

Arithmetic sequence have common difference , so make the 'd' equal and solve for x

d=x+2d=2x+1x+2=2x+1x+2-2x=1-x+2=1-x=1-2-x=-1x=1thevalueofx=1

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

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

1-13+19-127+......+-16136

Find x so that x, x + 2, and x + 3 are consecutive terms of a geometric sequence.

In Problems 37鈥�50, a sequence is defined recursively. Write down the first five terms.

a1=A;an=ran-1,r鈮�0

Problems 17鈥�28, write down the first five terms of each sequence.

cn=-1n+1n2

Roth IRA On January 1, 1999, Bob decided to place \(500 at the end of each quarter into a Roth Individual Retirement Account.

(a) Find a recursive formula that represents Bob鈥檚 balance at the end of each quarter if the rate of return is assumed to be 8% per annum compounded quarterly.

(b) How long will it be before the value of the account exceeds \)100,000?

(c) What will be the value of the account in 25 years when Bob retires?
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Mechanics Maths

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.