The complete question is:The recursive rule for a geometric sequence is given.

;

. Enter the explicit rule for the sequence.
Solution:We are given

Explicit rule of geometric sequence is of the form:

Using the given recursive sequence, we can find r.


r = Ratio of consecutive two terms of Geometric series.
So,
r = 26/2 = 13
Therefore,
is the explicit rule for the given geometric sequence.