Answer:
Given sequence is an arithmetic sequence.
Step-by-step explanation:
Given sequence is:
125, 25, 5, .. ..
Here
[tex]a_1 = 125\\a_2 = 25\\a_3 = 5[/tex]
- A sequence is geometric sequence when the common ratio of consecutive terms is same. It is denoted by r.
- A sequence is an arithmetic sequence when the common difference of consecutive terms is same. It is denoted by d.
Finding the common ratio
[tex]r = \frac{a_2}{a_1} = \frac{125}{25} = 5\\r = \frac{a_3}{a_2} = \frac{25}{5} = 5[/tex]
As we can see that the common ratio is same, the given sequence is a geometric sequence.
