Algebra-1

Question Analysis
This question evaluates the student's ability to use the explicit formula for the nth term of a geometric sequence. The given values are the first term and the common ratio , and the student needs to find the 6th term.

Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is (). This formula allows us to directly calculate any term in the sequence without needing to find all preceding terms.

Step-by-step Solution
1. Identify the given values: , , and .
2. Substitute these values into the explicit formula: