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A pile driver is driving a 3 foot pile into the ground. The first hit drives the pile in 58 in. The second hit drives

A pile driver is driving a 3 foot pile into the ground. The first hit drives the pile in 58 in. The second hit drives the pile in 41 in. more, and successive distances driven form a geometric sequence. How many inches will the pile be driven in the ground if the pile driver is allowed to run forever?

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