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a post is being driven in to the ground by a mechanical hammer. The distance it is driven by the first blow is 8 cm. Subsequently the distance it is driven by each blow is 9/10 of the distance it was driven by the previous blow. The post if to be driven a total distance of at least 70 cm into the ground. Find the smallest number of blows needed to achieve this.
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8+8*(|dw:1338434013159:dw|9/10)+8*(8/10)^2
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