Answer:
(a) 0.75
Explanation:
You want the 10th term of the geometric sequence with a1 = 384 and a7 = 6.
N-th term
The equation for the n-th term can be written ...
an = a1·b^(n-1)
Using a1 = 384, we can find b from ...
a7 = 6 = 384·b^(7-1)
(6/384)^(1/6) = b
10th term
Then the 10th term is ...
a10 = 384·(6/384)^((10-1)/6) = 0.75
The 10th term of the sequence is 0.75.
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