Answer: The sequence is geometric
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference and this difference is linear.
Common difference = given term - the term before it
In geometric progression, the consecutive terms differ by a common ratio this difference is exponential.
Common ratio = given term/the term before it
Looking at the given sequence,
1) d = 6 - - 2 is not equal to - 18 - 6
Therefore, it is not an arithmetic sequence
2) r = 6/- 2 = - 18/6 = - 3
Therefore, it is a geometric sequence.
