In short, yes. Arithmetic is always adding or subtracting the same constant term or amount. Geometric is always multiplying or dividing by the same constant amount. Comment on Matt Ahlberg's post “In short, yes.

What is the rule for your arithmetic sequence?

An arithmetic sequence is a sequence where the difference between each successive pair of terms is the same. The explicit rule to write the formula for any arithmetic sequence is this: an = a1 + d (n - 1)

Can an arithmetic sequence be geometric also?

Yes, because we found an example above: 5, 5, 5, 5,.... where c is a constant will be arithmetic with d = 0 and geometric with r = 1. It turns out that this is the only type of sequence which can be both arithmetic and geometric.