Answer:
3
Explanation:
You want the middle term of the geometric sequence 6, __, 3/2.
Middle term
The first term of this sequence is a1. With common ratio r, the first three terms are ...
If we multiply the first and third terms, we get ...
(a1)(a1·r²) = (a1)²·r² = (a1·r)² . . . . . the square of the middle term
Then the middle term is ...
a1·r = √(6·3/2) = √(18/2) = √9 = 3
The middle term of the sequence is 3.
__
Additional comment
That lets us see that the common ratio is r = 3/6 = 1/2.
<95141404393>