A unit square is cut into nine equal regions as in Figure (A). The central subsquare is painted red. Each of the unpainted squares is then cut into nine equal subsquares and the central square of each is painted red as in Figure (B). This procedure is repeated for each of the resulting unpainted squares. (A) (В) After continuing this process an infinite number of times, is the square totally painted or not? The square is totally painted. The square isn't totally painted.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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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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A unit square is cut into nine equal regions as in Figure (A). The central subsquare is painted red. Each of the unpainted squares is then cut into nine equal subsquares and the central square of each is painted red as in Figure (B). This procedure is repeated for each of the resulting unpainted squares.

[Figure (A): A square divided into nine equal parts with the center square painted red.]
[Figure (B): The previous figure's remaining unpainted squares are each divided into nine smaller squares, with each center square painted red.]

After continuing this process an infinite number of times, is the square totally painted or not?

- ○ The square is totally painted.
- ○ The square isn't totally painted.
Transcribed Image Text:A unit square is cut into nine equal regions as in Figure (A). The central subsquare is painted red. Each of the unpainted squares is then cut into nine equal subsquares and the central square of each is painted red as in Figure (B). This procedure is repeated for each of the resulting unpainted squares. [Figure (A): A square divided into nine equal parts with the center square painted red.] [Figure (B): The previous figure's remaining unpainted squares are each divided into nine smaller squares, with each center square painted red.] After continuing this process an infinite number of times, is the square totally painted or not? - ○ The square is totally painted. - ○ The square isn't totally painted.
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