Answer
The sequence is geometric
Work Step by Step
You have the sequence 1.5,4.5,13.5,40.5. You have to determine if it is an arithmetic or geometric sequence:
Arithmetic you have to find the common difference:
4.5-1.5=3
40.5-13.5=27
There is no common difference so this is not arithmetic.
Geometric you have to find the common ratio:
r=$\frac{4.5}{1.5}$=3
r=$\frac{40.5}{13.5}$=3
There is a common ratio 3. So the sequence is geometric.
