Answer:
a
Step-by-step explanation:
This looks like a geometric sequence with common ratio
1
3
, with an error in the third term, which should be
4
3
rather than
3
4
.
If so, then the next
3
terms are:
4
9
,
4
27
,
4
81
Explanation:
With only three terms, about the only pattern which makes sense is if the third term should be
4
3
rather than
3
4
.
If this is so, then this is a geometric sequence with initial term
12
and common ratio
1
3
.
The terms of a geometric sequence are given by the formula:
a
n
=
a
r
n
−
1
where
a
is the initial term and
r
the common ratio.
In our case,
a
=
12
,
r
=
1
3
