In a geometric sequence, the 4th term is 162 and the common ratio is 3. Find the 7th term. The 7th term is ________.
Answer & Analysis
Analysis
Question Analysis
This question requires students to find the 7th term of a geometric sequence given the 4th term and the common ratio.
Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is (). To find the 7th term, we need to determine the first term using the given 4th term.
Step-by-step Solution
1. Identify the given values: , , and .
2. Use the 4th term to find : .
3. Substitute
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