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.

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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.5: Mathematical Induction

Problem 27E

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