Answer
$a_{n}=3*(\frac{1}{10})^{n-1}$
Or:
$a_{n}=3*(10)^{1-n}$
Work Step by Step
We are given:
$3, 0.3, 0.03, 0.003$ ...
We see that each term is the previous term divided by $10$, starting with $3$. We find the pattern:
$a_1=3*10^{0}$
$a_2=3*10^{-1}$
$a_3=3*10^{-2}$
$a_4=3*10^{-3}$
Therefore:
$a_{n}=3*(\frac{1}{10})^{n-1}$
Or:
$a_{n}=3*(10)^{1-n}$