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Mathematics, 05.05.2020 03:35 ab2019

A square is cut into 9 smaller squares where each is similar to the original of which 5 are then colored blue. Each of the remaining uncolored squares are cut into 9 smaller squares where 5 out of each group of 9 are colored blue. This process is repeated indefinitely. Write the explicit form of the equation that determines the combined area of uncolored squares after n cuts.

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