Given that the first term \( a_1 = 3 \) and the common ratio \( r = 0.2 \), this defines a geometric sequence.
In a geometric sequence, each term can be found by multiplying the previous term by the common ratio \( r \). The formula for the \( n \)-th term of a geometric sequence is:
\[ a_n = a_1 \cdot r^{(n-1)} \]
To find the third term \( a_3 \):
\[ a_3 = a_1 \cdot r^{(3-1)} = 3 \cdot 0.2^{2} \]
Calculating \( 0.2^2 \):
\[ 0.2^2 = 0.04 \]
Now substituting this back into the formula for \( a_3 \):
\[ a_3 = 3 \cdot 0.04 = 0.12 \]
Therefore, the third term of the sequence is \( 0.12 \).
Now, let's classify the type of sequence:
- Since the sequence has a common ratio \( r \) (and the common difference is not constant), it is a geometric sequence.
So, to summarize: The third term of the sequence is 0.12. Statement Option #2 is true for the sequence (it is a geometric sequence).