Question

Look at the following sequence.

54, 36, 24, 16, ...
If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose "not geometric."
8
1.5
0.67

Answer 1

geometric sequence

Explanation:

If the sequence is geometric then there is a common ratio r between consecutive terms.

`(a_(2) )/(a_(1) )` =
`(36)/(54)` =
`(2)/(3)`

`(a_(3) )/(a_(2) )` =
`(24)/(36)` =
`(2)/(3)`

`(a_(4) )/(a_(3) )` =
`(16)/(24)` =
`(2)/(3)`

Then sequence is geometric with common ratio r =
`(2)/(3)` ( ≈ 0.67 )