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Driving a piling into a harbor bottom, a pile driver sinks the piling 24 inches on the first stroke, 18 inches on the second stroke, and 13 1/2 inches on the third stroke. If the sequence is continued, how far will the piling be driven down on the 5th stroke?

Respuesta :

Answer:

7.6 inches to the nearest tenth.

Step-by-step explanation:

18/24 = 3/4.

13.5 / 18 = 3/4.

This is a Geometric sequence with common ratio 3/4 or 0.75.

We need to find the fifth term of the sequence.

5th term = a1 (r)^(5 - 1)

=  24 * (0.75)^(5-1)

= 24 *  0.316406

=  7.6 inches.

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