Answer:
arithmetic; common difference; 8
Step-by-step explanation:
Let's first define arithmetic and geometric sequences:
<u>Arithmetic</u>:
Arithmetic sequences are made up of successive terms that share a common difference. In other words, if the sequence is, say: a, b, c, d, then we know that: d - c = c - b = b - a
<u>Geometric</u>:
Geometric sequences are made up of successive terms that share a common ratio. In other words, if the sequence is, say: e, f, g, h, then we know that:
h/g = g/f = f/e (where the / denotes division)
Here, let's try applying the arithmetic sequence rule to the three terms:
2, 10, 18
18 - 10 = 8
10 - 2 = 8
Ah, we see that the common difference is indeed 8, so this is an arithmetic sequence.
Thus, the answer is: arithmetic; common difference; 8.
<em>~ an aesthetics lover</em>
