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Mathematics, 05.11.2020 14:20 jasminetaylor4587

10. A pile driver drives a 12m pole into the ground. each time it strikes the pole, the pole is driven 2/3 the distance it last moved. the first strike drives the pole 3m into the ground.
(i) determine the distance the pole will be driven by the fifth strike?
(ii) Use an appropriate formula or otherwise to determine the length of the pole that will be left above the ground no matter how many strikes are made by the pile driver?

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