Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4, 9, 14​

The sequence is geometric

The common ratio is 0.5

Step-by-step explanation:

In the arithmetic sequence, there is a common difference between each two consecutive terms

In the geometric sequence, there is a common ratio between each two consecutive terms

Let us check the given sequence

The first 3 terms are 12, 6, 3

6 - 12 = -6

3 - 6 = -3

There is no common difference between the consecutive terms

The sequence is not an arithmetic sequence

6 ÷ 12 = 0.5

3 ÷ 6 = 0.5

There is a common ratio between each two consecutive terms

The sequence is a geometric sequence

The common ratio is 0.5