A geometric sequence has a 4th term and a common ratio . Find the 7th term. The 7th term is ________.
Answer & Analysis
Analysis
Question Analysis
This question requires students to find the first term using the given 4th term and common ratio, and then use the explicit formula to find the 7th term.
Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is (). To find the first term, we can rearrange the formula to solve for .
Step-by-step Solution
1. Identify the given values: , , and .
2. Use the explicit formula to find : .
3. Solve for
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