Algebra-1

Question Analysis
This question involves finding the 6th term of a geometric sequence given the 3rd term and the common ratio. The challenge is to first determine the first term and then use the explicit formula to find the 6th term.

Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is  (). To find , we can use the given 3rd term and the common ratio.

Step-by-step Solution
1. Given: and .
2. Use the explicit formula to express : .
3. Solve for :

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