The recursive rule for a geometric sequence is given. a1=2; an=13an−1

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.