A geometric sequence has a 5th term and a common ratio . Find the 9th term, .
Answer & Analysis
Analysis
Question Analysis
This question requires students to find the 9th term of a geometric sequence given the 5th term and the common ratio. The key is to first determine the first term using the 5th term and then use the explicit formula to find the 9th term.
Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is (). To find , we can use the given 5th 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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