Question

Is 4, 16, 36, 64 a geometric sequence

Answer 1

No, there is no constant ratio.

Step-by-step 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.

`(16)/(4) = 4`

`(36)/(16) = (9)/(4)`

`(64)/(36) = (16)/(9)`

Since the ratio is not the same for the consecutive terms, the sequence is not geometric.