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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the total of the lengths of all segments removed in the first n steps.

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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