/*! 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 173. In the following exercises, find... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q 173. (page 1199)

In the following exercises, find the sum of each infinite geometric series.

6+12+24+48+96+192+鈰�

Short Answer

Expert verified

The sum does not exist.

Step by step solution

01

Step 1. Given Information.

Consider the given series:

6+12+24+48+96+192+鈰�

02

Step 2. Find the common ratio.

To find the common ratio, divide the second term by first.

r=612=12

And the ratio isr>1.

03

Step 3. Find the sum of infinite series.

  • Since the value of r is 2.
  • Two is greater than one.
  • Thus, the sum of the given sequence does not exist.

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 the following exercises, find the indicated term of a sequence where the first term and the common ratio is given.

Finda11givena1=8andr=3.

Find the thirteenth term of a sequence where the first term is 81and the common ratio is r=13.

In the following exercises, evaluate.

(a) 81 (b) 1010 (c) 60 (d)93

Determine if each sequence is arithmetic. If so, indicate the common difference.

(a)鈭�4,4,2,10,8,16,鈥�(b)鈭�3,鈭�1,1,3,5,7,鈥�(c)7,2,鈭�3,鈭�8,鈭�13,鈭�18,鈥�

Write each sum using summation notation: 鈭�2 + 4 鈭� 6 + 8 鈭� 10.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Geometry

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.