At a construction site, a pile driver drives a 3-meter post into the ground. The first hit drives the post in 60 cm, the second hit drives the post in 40 cm further, and successive distances driven form a geometric sequence. a. How far will the post be driven into the ground if the pile driver is allowed to run forever? b. What percent of the total distance driven is reached after 20 hits?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
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At a construction site, a pile driver drives a 3-meter post into the
ground. The first hit drives the post in 60 cm, the second hit drives
the post in 40 cm further, and successive distances driven form a
geometric sequence.
a. How far will the post be driven into the ground if the pile driver
is allowed to run forever?
b. What percent of the total distance driven is reached after
20 hits?
Transcribed Image Text:At a construction site, a pile driver drives a 3-meter post into the ground. The first hit drives the post in 60 cm, the second hit drives the post in 40 cm further, and successive distances driven form a geometric sequence. a. How far will the post be driven into the ground if the pile driver is allowed to run forever? b. What percent of the total distance driven is reached after 20 hits?
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