1. The problem asks to find the 5th term of a geometric sequence where the first term $a_1=2$ and the common ratio $r=3$. 2. The formula for the $n$th term of a geometric sequence is: $$a_n = a_1 \times r^{n-1}$$ 3. Substitute the given values into the formula for $n=5$: $$a_5 = 2 \times 3^{5-1} = 2 \times 3^4$$ 4. Calculate the power: $$3^4 = 3 \times 3 \times 3 \times 3 = 81$$ 5. Multiply to find the 5th term: $$a_5 = 2 \times 81 = 162$$ 6. Therefore, the 5th term of the sequence is $162$. The correct answer is c. 162.