Question

Is the sequence 24, 12, 6 a geometric sequence?

Answer 1

Since `r_1 = r_2` the sequence is geometric.

Explanation:

In a geometric sequence, a constant common ratio `r` is maintained all through out the sequence.

The common ratio `r` is obtained by dividing a term by its preceding term.

The sequence is: `24, 12, 6`

1) `r_1 = 12/24 =1/2`

2) `r_2 = 6/12 = 1/2`

Since `r_1 = r_2` the sequence is geometric.