Geometric Sequencesmedium
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A square is divided into 9 smaller congruent squares. The middle square is removed. Then, each of the remaining 8 squares is divided into 9 smaller squares and the middle one is removed. If this process is repeated infinitely, what is the total area removed if the initial square had side length 1?
A square is divided into 9 smaller congruent squares. The middle square is removed. Then, each of the remaining 8 squares is divided into 9 smaller squares and the middle one is removed. If this process is repeated infinitely, what is the total area removed if the initial square had side length 1?