This is geometric sequence and the common ratio is equal to 1/10
Step-by-step explanation:
The sequence: 200, 20, 2, ....
For the sequence to be arithmetic, we must have a common difference
For the sequence to be geometric. we msut have a common ratio
common difference = next term - previous term
when next term = 20, previous term = 20
common difference = 20 - 200 = -180
when next term = 2, previous term = 20
common difference difference = 2 - 20 = -18
The common difference are not the same. Hence, it is not an arithmetic sequence
common ratio = next term/previous term
when next term = 20, previous term = 200
common ratio = 20/200 = 1/10
when next term = 2, previous term = 20
common ratio = 2/20 = 1/10
Common ratio is the same.
Hence, it is a geometric sequence.
Completing the statement:
This is geometric sequence and the common ratio is equal to 1/10