Answer:
r = 1.6
a19 = 37800
Explanation:
First term
and
of a geometric sequence and we are to find the 19th term along with the common ratio for this sequence.
We know that the general term of a Geometric Sequence is given by:

where
is the nth term,
is the first term,
is the number of terms and
is the common ratio.
Substituting the given values in the above formula to get:




r = 1.6
Finding the 19th term:


a19 = 37800