Answer
The first five terms of the sequence are 0, ln5, ln25, ln 125, ln625 (or 0, ln5, 2ln5, 3ln5, 4ln5). The series is not geometric.
Work Step by Step
$a_{n} =ln(5^{n-1})$ is the formula we are given for the nth term of this sequence. To find the first 5 terms, plug in n =1 ,2, 3... and solve. Since the resulting terms (0, ln5, 2ln5, 3ln5, 4ln5) do not have a ratio in common the sequence is not geometric and cannot be represented by a geometric formula for the nth term of the sequence.
