Answer:
91.125
Step-by-step explanation:
We know that this is a geometric sequence. By definition, this means that each subsequent term divided by the previous one is a common ratio r.
Here, divide 18 by 12 to get:
18/12 = 3/2 = 1.5
Divide 27 by 18 to check if it's also 1.5:
27/18 = 3/2 = 1.5
Indeed, the common ratio is 1.5. Now, we simply multiply 27 by 1.5 to get the 4th term:
27 * 1.5 = 40.5
Multiply 40.5 by 1.5 to get the 5th term:
40.5 * 1.5 = 60.75
Finally, multiply 60.75 by 1.5 to get the 6th term:
60.75 * 1.5 = 91.125
Our answer is thus 91.125.
~ an aesthetics lover
