Question

If the given sequence is a geometric sequence, find the common ratio.

3/3, 3/12, 3/48, 3/192, 3/768

a. 4

b. 1/30

c. 30

d. 1/4

Answer 1

d

Explanation:

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

`(3)/(12)` ÷ 1 =
`(3)/(12)` =
`(1)/(4)`

`(3)/(48)` ÷
`(3)/(12)` =
`(1)/(4)`

`(3)/(192)` ÷
`(3)/(48)` =
`(1)/(4)`

`(3)/(768)` ÷
`(3)/(192)` =
`(1)/(4)`

A common ratio of r =
`(1)/(4)`

Hence sequence is geometric

Answer 2

d. 1/4

Explanation:

The common ratio will be the ratio of any two adjacent terms:

(3/12)/(3/3) = (1/4)/1 = 1/4