Final answer:
The given sequence is a geometric series with a common ratio of 5/2.
Step-by-step explanation:
The given sequence is a geometric sequence because each term is obtained by multiplying the previous term by a constant. In this case, the common ratio (r) is found by dividing any term by its previous term.
To find the common ratio, we can divide any term by its previous term. Let's say we divide the second term (a2) by the first term (a1):
r = a2 / a1 = (5/2)^2 / (5/2)^1 = 25/4 / 5/2 = 25/4 * 2/5 = 25/10 = 5/2
Therefore, the given sequence is a geometric series with a common ratio of 5/2.