The first term of a geometric sequence is 7, and the common ratio is . The third term of this sequence is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find a specific term in a geometric sequence given the first term and the common ratio. The first term is 7, and the common ratio is .
Key Concept Explanation
In a geometric sequence, each term after the first is found by multiplying the previous term by a constant called the common ratio ().
Step-by-step Solution
1. Identify the first term and the common ratio: and
2. Use the formula for the -th term to find the third term:
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