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Answer: 21, 63
<u>Step-by-step explanation:</u>
We need to find two geometric means between 7 and 189.
The Geometric Sequence is: 7, ____, ____, 189
Let's find r (common ratio):
We can see that the common ratio will be multiplied by itsely 3 times in order to get from 7 to 189:
7 r³ = 189
r³ = 27
∛r³ = ∛27
r = 3
Now that we know the common ratio is 3, we can multiply 7 and 3 to get the next term (21), and multiply that by 3 to get the third term (63), and multiply that by 3 as a check to confirm we get 189.
7 x 3 = 21
21 x 3 = 63
63 x 3 = 189
The completed Geometric Sequence is: 7, <u>21</u>, <u>63</u>, 189