ANSWER
No, there is no constant ratio.
EXPLANATION
We want to determine whether the sequence
4, 16, 36, 64
is geometric.
We need to find out if there is a common ratio between the consecutive terms.
[tex] \frac{16}{4} = 4[/tex]
[tex] \frac{36}{16} = \frac{9}{4} [/tex]
[tex] \frac{64}{36} = \frac{16}{9} [/tex]
Since the ratio is not the same for the consecutive terms, the sequence is not geometric.
