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Question 7. Consider a linesegment of length 1. In the first step, remove the middle one- third portion of this linesegment. Now, you are left with two linesegments of length 1/3 each. In the second step, remove the middle one-third portions of each of these two linesegments. Now, you are left with four linesegments of length 1/9 each. Keep repeating this process. That is, in each step, remove the middle one-third portions of each of the linesegments left.

Question 7. Consider a linesegment of length 1. In the first step, remove the middle one- third portion of this linesegment. Now, you are left with two linesegments of length 1/3 each. In the second step, remove the middle one-third portions of each of these two linesegments. Now, you are left with four linesegments of length 1/9 each. Keep repeating this process. That is, in each step, remove the middle one-third portions of each of the linesegments left.

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter1: Basic Concepts And Properties
Section1.CR: Review Problem Set
Problem 67CR: A crime-scene investigator has 3.4 ounces of a sample. He needs to conduct four tests that each...
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Find an infinite series representing the total of the lengths of all segments removed, when the process is carried out infinitely many times. Calculate the sum of the infinite series.

Question 7. Consider a linesegment of length 1. In the first step, remove the middle one- third portion of this linesegment. Now, you are left with two linesegments of length 1/3 each. In the second step, remove the middle one-third portions of each of these two linesegments. Now, you are left with four linesegments of length 1/9 each. Keep repeating this process. That is, in each step, remove the middle one-third portions of each of the linesegments left.
Transcribed Image Text:Question 7. Consider a linesegment of length 1. In the first step, remove the middle one- third portion of this linesegment. Now, you are left with two linesegments of length 1/3 each. In the second step, remove the middle one-third portions of each of these two linesegments. Now, you are left with four linesegments of length 1/9 each. Keep repeating this process. That is, in each step, remove the middle one-third portions of each of the linesegments left.
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