Answer:
Geometric
Exponential

with

Explanation:
Arithmetic sequences have a common differences.
This is not arithmetic because 12-2 is not the same as 72-12. One is 10 while the other is 60.
Geometric sequences have a common ratio.
This is geometric because 12/2 is the same as 72/12. They are both 6.
Arithmetic sequences are linear.
Geometric sequence are exponential.
Since this is a geometric sequence, then is is exponential.
means first term.
.
The arithmetic sequences have explicit form:

The arithmetic sequences have recursive form:
with
given.
represents the common difference.
The geometric sequences have explicit form:

The geometric sequences have recursive form:
with
given.
is common ratio.
So since it geometric, then the explicit formula is
and the recursive form is
with
.